When any estate of a deceased person in settlement as an insolvent estate proves to be solvent, the Court of Probate, after notice and hearing, shall order the estate settled in accordance with sections 45a-353 to 45a-375, inclusive; provided (1) no further newspaper notice shall be required and (2) any notifications to creditors given under subsection (b) of § 45a-378 shall be the equivalent and have the same legal effect as a notice under § 45a-357, except that the time for presentation shall remain as the date stated in the notice under subsection (b) of § 45a-378, and any other time periods in § 45a-357 shall be adjusted accordingly.