Rich people don't buy those things, like jets and infrastructure. They own companies that buy those things.
I think that for an individual rich person, their personal purchases are still within the million dollar range. Luxury doesn't come from a single purchase. It's the cost of upkeep that really separates rich from poor.
One thing that shocked me is the price of getting an elevator in a house. It easily costs as much as a small house, but it's the maintenance that is gross. It can cost about the same as a full time employee just to own one. It makes sense in a tall apartment building where the elevator is in constant use by many people, but for rich people who are never home and only use it maybe once a day, it's ridiculously expensive to pay that much just to not walk a stair.