For what its worth, I poured a slab over the summer. I went with the design which is well documented on the web, where you have a thickened edge, and a regular thickness slab. Search for "Shallow Frost Protected Foundation", also called an Alaskan Slab. This monolithic slab doesn't frost heave because you add wing insulation to trap the earth's heat as it attempts to reach the surface. I don't know that I would do that again, as the amount of foam required is substantial. I used reclaimed roof foam, and even at a deep discount, it was pricey.
In my case, I went with a 12" deep thickened edge and a regular 4" slab, all poured from a single truck in one long morning.
The foam can carry the weight if you choose to go that route. The number 250 in "foamular 250" is the PSI rating of the foam. You can work the math on this and would find that the area of a 36" circle (vertical tank) is a little over 1000 square inches. 4500 lbs distributed evenly over the circle is only 4.5 psi. Unless my math is wrong... You can also find documented cases where entire houses are built over foam. I seem to recall reading on the web that airport runways might also be poured over foam.
The big problem with this assumption is point loading from the legs on the tanks. This concentrates the load on the floor which is not the best thing to have. For that reason, I used a 1/4" plate under my tank and welded legs which form a cross under the tank. More work, more metal, but I was going with the famous adage "Nothing too strong ever broke." I put L bolts into the slab, so the plate is bolted to the floor, and I'll weld the tank legs to the plate. Lock everything down, just in case.
In the concrete side, I think you want to be considering the amount of metal more than the amount of crete. It's the metal reinforcing which matters. I have the usual 6" sq mesh in my 4" thick slab. My tank is 1000 gallons, vertically oriented, so when forming the foundation, I extended the 12" deep "haunch" perimeter under the tank. This area is reinforced with a rebar grid - the usual 1/2" stuff on 12" centers. That is, a 12"x12" grid. All the rebar in my slab was set of chairs to keep it off the stone and vapor barrier.
My two cents... As always, your mileage will vary. Here is a visual - the foam under the slab is 3.5" in two layers (1",2.5"), and the vertical insulation is 3" thick. You can clearly see the chairs and double rebar in the thickened edge.