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a. what's the difference between given that (a clause) and provided/providing that (a clause)?

b. Is in that the same as because?

c. Is meanwhile synonymous with in the mean time?

Please give me some examples

Thanks for responding
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Davidrock65a. what's the difference between given that (a clause) and provided/providing that (a clause)?

"Given that" means "given the fact that", so it's the same meaning as "because".

"Providing/provided that" means "providing that a condition is filled", so it's more "in the case", or "if".
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Davidrock65
b. Is in that the same as because?

Yes, at least in most cases. "In that" introduces explanatory information. I'm trying to think of a use for "because" where "in that" would not work, and not thinking of one. I'm sure someone else can come up with one though. He's a pleasure to have around, in that he always has a smile for everyone and is always willing to help out. You can replace it with because.

c. Is meanwhile synonymous with in the mean time?

Yes.