[sentence]。ゆえに、[sentence] [noun] + ゆえに [noun] + ゆえの + [noun] [verb (plain)] + (が)ゆえに [i-adj] + (が)ゆえに [na-adj] + であるがゆえに [noun] + であるがゆえに
ゆえに (故に) is a written, formal word for cause and result. At the start of a sentence it means "therefore"; after a noun, or after a clause with が, it means "because of".
A verb or an い-adjective in the plain form usually takes が before ゆえに. A noun or a な-adjective needs である first.
がゆえに puts weight on the reason: it is that very thing that leads to the result.
When the reason describes a noun, ゆえに becomes ゆえの.
ゆえに belongs in essays, legal and academic writing and speeches. In speech, "therefore" is だから and "because of" is から or ので; in ordinary writing, したがって and ため are the neutral choices.