Is there a way to store a template variable from constructor for later use? (c++)

I have a value class that should store any type of data. My constructor is a template and initializes a member void pointer variable with the value passed in. I need a method that returns the value with the void pointer cast to the correct data type. The current code doesn’t work but it shows what I want to do. This would work if I had the template on the whole class but I can’t do that because of how it’s being used elsewhere in the program. Is there a way to store the datatype for later use?

class Value
{
private:
    void *value;
public:
    Value()
    {
    }
    
    template <typename T>
    Value(T v)
    {
        value = new T(v);
    }

    ~Value()
    {
    }

    T getValue()
    {
        return *((T*)value);
    }
};