I have thought about this issue too, as I live in a flat (mine is modern, with concrete floors).
Tanks are rather heavy, but you must consider that the weight is spread out alot.
Imagine that you have a fat bloke (like me) in your house.
If they weigh 20 stone, that is 127.0059kilos.
If their feet are, for arguments sake, a foot long and five inches wide, that is 12 x 5 inches2, or 60 square inches.
They have 2 feet so 120 inches2 (bear in mind that a human foot is much smaller IRL)
1 square inches = 6.4516 square centimeters
so, 120 x 6.5(for ease of calculation) =780 square cm
so 127ks divide by 780 cm2 = 0.162
so a fat bloke has a downward force of .162 kilos per square centimetre.
Now lets consider a tank.
A tank which is 3 ft x 2ft x 2ft, or 90 x 60 x 60 cm contains 324000 cubic cms of water (if it was full to the brim)
a cubic cm of water weighs a gram, so 324000 is 324k, or 324 kilos.
and the tank, if placed on the floor covers 90 x 60 cm of area, or 5400 square cm.
so 324k over 5400 cm2 is 0.06.
or 0.06 kilos per square cm.
which is less than a third of the weight per surface area than the fat bloke we discussed earlier makes.
So my advice is don't panic, or don't have fat friends!
(but I still think a structural engineer is a good idea)
doris