And so... instill fear of You upon all that You have made, and dread of You upon all that You have created -- High Holiday Amidah.
On this day when we are concerned with ourselves, that G-d judge us with mercy, why do we pray that the entire world should fear G-d?
The Talmud1 says that when one prays on behalf of his friend and he too is similarly in need, he, the one who prayed, is answered first. Since we, and the entire world as well, need G-d to instill His fear within us, in merit of our praying for all those that He made and created, we will be the first in whom He will instill His fear and the first to prostrate ourselves before Him with a perfect heart.2