>> First of all....One has to describe the proper bow appropriate for a Saudi King....
OK, let me take a stab at it.
The proper bow to a Saudi king for the head of the most powerful nation on Earth is NO BOW AT ALL!!!
What part of that don’t people understand? His SUBJECTS may bow to him to show their subservience. But a sovereign nation is NOT subservient to this POS king!
The PResident of the United States BOWS to NO ONE (but God).
It has been said that Hirohito used to routinely bow to MacArthur, but I cannot find a picture of it.