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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _add_name_mapping(self, name: str, translated_name: str, name_type: Type = None):
 """ Utility method to add a name and its translation to the local name mapping, and the corresponding signature, if available to the local type signatures. This method also updates the reverse name mapping. """

        self.local_name_mapping[name] = translated_name
        self.reverse_name_mapping[translated_name] = name
        if name_type:
            self.local_type_signatures[translated_name] = name_type