I didn't mean EXACTLY the same amount of fuel. I just using that as simplified explanation of why the mixture would be too rich at higher altitudes, without adjusting the mixture.
But, thanks for explaining about the venturi suction. I hadn't thought that much about the carb before. Although I should, I'm starting A&P school in a couple months.
There are three things that influence the fuel transfer from the float bowl to the venturi area of the carb.
Atmospheric vent in the float bowl. The mixture valve, and the minus pressure developed in the venturi.
Close the vent, the flow stops, close the valve and the flow stops, close the throttle, the flow stops.
WE normally can not do any adjustment to the bowl vent. (pressure carbs yes)
WE can adjust the mixture valve, by the control provided.
WE can change the pressure developed in the vanturi by the throttle valve changing the amount of air flowing.
The actual change of atmospheric pressure exerted on the fuel in the float bowl changes with actual atmospheric pressure, which will influence the fuel flow. as you go up, less pressure is exerted on the fuel in the float bowl, and a lesser amount of fuel will transfer.
The amount of minus pressure created in the venturi, will be determined by the throttle setting and atmospheric pressure, you will vary this pressure when you change the throttle setting. but the atmospheric pressure will remain the same at both places. thus the rise in altitude will not change mixture.
At full rich setting the mixture valve is wide open, and the engine is at the mercy of the two pressures to determine fuel flow, and will be very rich.
This is why we are allowed to lean by partial closing of the mixture valve, this how we get best power and are able to run lean of peak.
When we get a High DA, the air its self changes, now the molecules of the air are larger, and fewer get thru the carb. but the pressures remain the same, thus the fuel flow will also,
But the engine will receive fewer molecules of O2 to burn. thus the rich mixture. this is why we now must lean to get the proper mixture to develop best power.