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There are infinitely many groups. Some examples are given below.

Additive:

(1, 1, 1, 3)

(1.1, 1.1, 1.1, 2.7)

(-1, 1, 1, 4) etc

Multiplicative:

(1, 1, 1, 6)

(2, 2, 2, 0.75)

(3, 3, 3, 6/27) etc

You could, of course, have Irrational Numbers.

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