If a, B and C are three numbers that are not zero respectively, a ／ 5 / 3 equals B ／ 1 / 4 equals C ／ 4 / 3, Please put ABC in order from big to small and give reasons

If a, B and C are three numbers that are not zero respectively, a ／ 5 / 3 equals B ／ 1 / 4 equals C ／ 4 / 3, Please put ABC in order from big to small and give reasons

Let's solve the problem by setting the number, assuming that each formula is equal to 1
A / 5 / 3 = B / 1 / 4 = C / 4 / 3 = 1
So a = five-thirds, B = one-quarter, C = four-thirds
So a > C > b

If one fifth a = one fourth B (a is not equal to 0), then a > B. ()
Right, wrong, why

It is wrong, a / 5 = B / 4, which can be transformed into b = (4 / 5) a, because a is not equal to zero, so B / a = 4 / 5 is less than 1, that is, a > b > 0 or a

One third of a equals one fourth of B, one third of B equals one fourth of C, a: B: C = (;;:)

One third of a equals one fourth of B, one third of B equals one fourth of C, a: B: C = (9:12:16)
1/4÷1/3:1:1/3÷1/4
=3/4:1:4/3
=9:12:16

A times one third = B times one fourth (a is not equal to 0). Who is bigger?
It's better to give a reason

1/3a=1/4b
So a = 3 / 4B
So a is less than B