Your floor will need to be reinforced, especially since your tank will run parallel to the floor joists. Most older homes (built in the 60's and 70's) have 2x8 or 2x10 floor joists. Newer homes may have 2x12 or I-joists. None of which will be sufficient to support the weight of the tank and equipment without distortion in either direction (side to side/front to back).
If your floor moves, your stand will distort over time. That distortion will cause your tank to flex. Doubling of your floor joists will not be enough to carry the weight. I spent 20 years in the construction industry, my advice is to consult a structural engineer. Your local lumber yard (NOT Home Depot/Lowes, etc) usually have one on staff or access to one from their lumber supplier. They should be able to give you solid information based on your homes structure for a lot less than it will cost to remodel the new sky light in your basement ceiling.