If subsequent to the determination of the tax due under this chapter an additional or increased estate tax shall become payable to the United States by reason of any redetermination, or additional or corrected assessment, as to a portion of which the estate is entitled to a credit on account of estate, inheritance, succession or legacy taxes paid to any state or territory of the United States or the District of Columbia, then an additional estate tax shall be due and payable to this state to be assessed in the same manner as provided by section 54:38-1 of this title.