In Julia there would be also BigFloat:

julia> x=parse(BigFloat, "1.052500000000004")
1.052500000000003999999999999999999999999999999999999999999999999999999999999994

julia> x^6.0-x^6
0.000000000000000000000000000000000000000000000000000000000000000000000000000000

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