Mathematica: How can I find intersection of four sphere without solving the system of equations?

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Peter Schneider
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How can I find intersection of four sphere without solving the system of equations?
I hope you found a solution that worked for you :)
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(mathematica.stackexchange.com/users/81746/john-paul-peter)John Paul Peter
(mathematica.stackexchange.com/users/72111/cvgmt)cvgmt
(mathematica.stackexchange.com/users/75628/domen)Domen
(mathematica.stackexchange.com/users/7152/user64494)user64494
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