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Does the transaction fee increase with larger transfers of XLM?

If so, by how much?

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Transaction fees are calculated over the number of operations into a transaction

Each operation "costs" a base fee (currently* 100 stroops -> 0.00001 XLM) regardless of operation type or operation content

So if you have a transaction with only one payment operation, you will always* pay 0.00001 XLM. This apply both if you send 100XLM or 1B XLM

More info here

*Base fee amount could be changed in the future

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