If you want to build a hospital in a 3rd world country, you'll be better off starting a charity. A very rich person can give away all their fortune to such a cause and it won't even be enough to sustain for a significant period of time.
You'll have to invest some of the donations back into advertising.
You'll have to be doxed, which means you cannot present yourself with those Louis Vuitton accessories you drool over.
You'll most likely have to move there. Liberia or worse places.
If you can find a single doctor that's willing to work for less, that's a bonus. Not happening in those places, unless you find a Saint.
( Data here suggests Liberia has 14 Physicians per Million People with a population of 4.937 million )
The odds of your program being hijacked or robbed is very high. 1 component to a bad economy is high crime rates, everyone is in survival mode.
If you offer charitable or cheap medical care in those places, the masses will clean you out in a day while not being able to handle the the amount of visitors showing up. Many of them will fake illness just to obtain drugs with the intent to flip it.
In my opinion it would be more practical to create jobs in places that lack medical care.
I mean she could also do that here in the states, plenty of places here that don't have a hospital for miles or towns over
In a lot of places you'd have to invest in more than just building the hospital, like roads, water/sewage treatment, etc unless you're thinking more of a clinic
Whatever happens, i hope you'll be able to achieve this goal you have as it would benefit many people