Different mountains, different sports
Fuji is a tourist hike. Everest is a high altitude expedition with bottled oxygen, fixed ropes and a Sherpa team. The 5,000 m gap in height changes everything: air pressure, weather, risk and cost.

Comparison
Fuji is Japan's tallest peak at 3,776 m. Everest is the world's tallest at 8,849 m. Beyond raw height the two are completely different mountains.
Fuji is a tourist hike. Everest is a high altitude expedition with bottled oxygen, fixed ropes and a Sherpa team. The 5,000 m gap in height changes everything: air pressure, weather, risk and cost.
Fuji is a young, almost perfectly symmetrical stratovolcano that last erupted in 1707. Everest is built from marine sedimentary rock pushed up by the collision of the Indian and Eurasian plates.