To be “famous” means that a lot of people know who you are. Fame can lead to money, but the two are not the same. Nelson Mandela and Mahatma Gandhi were famous.
To be “rich” means that you have an amount of money that other people find impressive. A 2019 survey by Charles Schwab found this to be $2.3 million.
To be “wealthy” means that you have enough money to support your desired lifestyle without trading your time for money (i.e. having a job). Warren Buffet is wealthy, not because of his billions, but because he wakes up and chooses how to spend his time.
You can be one, two, or all three of these simultaneously, depending on your choices.