WE DIRECTLY SOLVED JACOBI AND MIX JACOBI IDENTITIES IN FOUR DIMENSIONAL REAL LIE BIALGEBRAS USING ADJOINT REPRESENTATION OF FOUR DIMENSIONAL REAL LIE ALGEBRAS AND WITH THAT WE FOUND DUAL ALGEBRAS .AT LAST, WE CLASSIFIED FOUR DIMENSIONAL REAL LIE BIALGEBRAS WITH USING AUTO ORPHISMS GROUPS.