Finding the Fourth Proportional to 27,351,330,252,206, 37,744,835,748,048 and 15,645,544,757,445
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Solution
The fourth proportional to 27,351,330,252,206, 37,744,835,748,048 and 15,645,544,757,445 is: 21,590,851,765,276.23
Step by Step Solution
- Step 1: Write the proportion equation
27,351,330,252,206 : 37,744,835,748,048 = 15,645,544,757,445 : x - Step 2: Convert to fraction form
27,351,330,252,206/37,744,835,748,048 = 15,645,544,757,445/x - Step 3: Cross multiply
27,351,330,252,206x = 37,744,835,748,048 × 15,645,544,757,445 - Step 4: Simplify right side
27,351,330,252,206x = 590,538,517,058,494,980,817,944,576 - Step 5: Solve for x
x = 590,538,517,058,494,980,817,944,576/27,351,330,252,206 - Step 6: Final answer
x = 21,590,851,765,276.23
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.