The primary meaning is You are so strong.
But is it possible to translate it as You are so loud, too ?
What are the other ways to say You are so loud in French?
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This can be confusing since the adjective fort can be used in a lot of ways, but not necessarily parallel to the uses of the English "loud".
When talking about people, fort can be used to describe the physical capacity of a person:
Fort can be used to talk about the intellectual abilities or skills of a person in a certain field :
Tu es si fort without further context usually refers to someone's physical capacity, context usually makes it clear, but it can never refer to the volume of their speech.
Fort can also be used to qualify a great number of things.
But it cannot be used directly to talk about the loudness of a person. In this case we have to use fort to modify the verb corresponding to the noise: tu parles trop fort/tu cries trop fort, etc.
Some dictionaries might also give you the adjective bruyant to qualify a person who speaks too loud, but bruyant usually refers to an overall level of noise and not necessarily to speech volume. The same goes with tu fais trop bruit which doesn't necessarily refer to speech volume.