The term 'greatly excited' can be expressed in four different ways using crossword solutions: ABLAZE (6 letters), AFIRE (5 letters), AGOG (4 letters), and FRENETIC (8 letters). ABLAZE means to be burning fiercely, while AFIRE is to be burning or glowing with passion. AGOG is an adjective used to describe being filled with eagerness or curiosity, and FRENETIC is an adjective used to describe being in a state of wild activity or confusion. All four words are used to express the idea of being greatly excited.