The Amaterasu, which is the highest form of fire release (aka Blaze Release) produces black flames at the focal point of the user, and can't be quenched or destroyed by normal means; even if the user dies, the flames can only be put out if the user wills it to or after it has completely burned its target to smitter.
Oonoki's Particle style on the other hand disintegrates everything within the 3-Dimensional object on a molecular level and converts it to dust. This got me wondering what would happen if the amaterasu was used against the Dust release. would the Amaterasu burn the 3 dimensional object which shapes the dust release? or will the Dust release completely disintegrate the "un-extinguishable black flames".