Science Quiz / Swiss Bank 1 Maths Logic Puzzle

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Can you work out my bank account number?

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Oh no - how could I be so scatterbrained! I've forgotten the number of my Swiss Bank account, which contains all my worldly wealth. It is an 18 digit positive integer and doesn't start with a zero. I remember two things about it: Firstly, that if I multiply it by 2 I get the same result as if I take the last digit and shift it to the front (so that for example 15387 would become 71538.) I also remember that the 4th digit was a 7. Can you help me work it out? There's a solution in "Source".
Score 0/18 Timer 20:00
--Digit
1st Digit

7th Digit

13th Digit

--Digit
2nd Digit

8th Digit

14th Digit

--Digit
3rd Digit

9th Digit

15th Digit

--Digit
4th Digit

10th Digit

16th Digit

--Digit
5th Digit

11th Digit

17th Digit

--Digit
6th Digit

12th Digit

18th Digit

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