## PLEASE HELP SOON AND TRY TO EXPLAIN. Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c

PLEASE HELP SOON AND TRY TO EXPLAIN. Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!