Did Ringo get paid the same as the other Beatles?

The Beatles were paid the same as performers (and in repeat rights etc).
Ringo missed out on the eye-popping Lennon-McCartney songwriting royalties but for a non-songwriter he has healthy songwriting royalties, which Gregory Pietsch has documented:

"What Goes On" (Rubber Soul) (Lennon-McCartney-Starr)
"12-Bar Original" (Anthology 2) (Lennon-McCartney-Harrison-Starr)
"Flying" (Magical Mystery Tour) (Lennon-McCartney-Harrison-Starr)
"Don't Pass Me By" (The Beatles, aka the White Album) (Starr)

“Los Paranoias” (Anthology 3) (Lennon-McCartney-Harrison-Starr)
"Octopus's Garden" (Abbey Road) (Starr)
"Dig It" (Let It Be) (Lennon-McCartney-Harrison-Starr)
"Maggie May" (Let It Be) (traditional adaptation by Lennon-McCartney-Harrison-Starr)
"Free As a Bird" (Anthology 1) (Beatles' version by Lennon-McCartney-Harrison-Starr)
"Christmastime (Is Here Again)" ("Free As a Bird" single) (Lennon-McCartney-Harrison-Starr).

In summary, he’s still doing alright - but don’t ask him for an autograph as he has officially retired ….