The number 4 is written on my whiteboard. Every time it rains, I multiply the number on the whiteboard by 2/3, erase the original number, and write the new number on the whiteboard. When it snows, I multiply the number on the whiteboard by 3/5, and I replace the original number with the new number. It has rained 5 times and snowed 4 times this month. At the end of the month, what number is on the whiteboard?
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