I have gone through it just for fun:
NO₃: 62.004g/mol
PO₄: 94.97g/mol
So if we assume the Redfield ratio:
16mol • 62.004g/mol = 992.064g
1mol • 94.97g/mol = 94.97g
In readable terms for hobbyists: You would theoretically get rid of 10 times more nitrate than phosphate. However, this doesn't take into account the buffering capacity of the calcium carbonate in your tank so the visible effect will be less pronounced.
There also is the phenomenon of "luxury uptake" where organisms store more phosphate than they actually can immediately utilize. So if you had enough phosphate available those organisms might still use up their own supplies before actually removing phosphate from the water column.
Obviously this is all just theory, nothing tested or validated but maybe there are scientific research papers how carbon spikes change N:P ratios.