My baby grew way faster than average in utero, was 99th percentile for weight and length at birth and has maintained that at one month old...

Wondering if this will continue? And for how long?
What was your experience? Did baby sort of stay around his/her percentile for good? When did s/he fall or rise?

ETA: We're EBF. DH is tallish 6' but slim, I'm petite at 5'1. LO's size so far is extraordinary for both our families, so we don't know what to expect!