Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MVAR to a $11$kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine $A$ and machine $B$ are $1\Omega$ and $3\Omega$, respectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine $A$ to that of machine $B$ is _______. (Give the answer up to two decimal places.)