This is the 11662nd most frequent Spanish word.
fuertemente
Strongly.
In this sentence, 'fuertemente' is adverbially describing the intensity of the action of falling in love.
Ella se enamoró fuertemente de las montañas.
She fell strongly in love with the mountains.
Here, 'fuertemente' modifies the verb 'soplaba', indicating the strong intensity of the wind's action.
El viento soplaba fuertemente, derribando árboles en su camino.
The wind blew strongly, knocking down trees in its path.
In this context, 'fuertemente' describes the manner in which the athlete prepared, indicating strong effort or determination in the preparation.