How to calculate a new value pair BTC/XAU?

Question

If I know, for example,

DOGE/EUR=1:1.323
EUR/USD=1:1.12
JPY/Silver=1:0.81
EUR/JPY=1:12

How can I calculate any other value pair I might be interested, given the known value pairs?

DOGE/USD=?
DOGE/Silver=?

user_14860394 · Answer

Nils.

  DOGE/EUR=1:1.323
  EUR/USD=1:1.12 => EUR=USD:1.12
  DOGE/EUR=DOGE/(USD:1.12)=1:1.323 => DOGE/USD=1:(1.12*1.323)
  DOGE/USD=1:1.48176

analogically

  DOGE/Silver=1:(1.323*12*0.81)=1:12.85956

Ок?