Finding the Fourth Proportional to 1,548,691,338,586.70, 2,137,200,691,609.20 and 844,772,542,434.80
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Solution
The fourth proportional to 1,548,691,338,586.70, 2,137,200,691,609.20 and 844,772,542,434.80 is: 1,165,789,732,892.63
Step by Step Solution
- Step 1: Write the proportion equation
1,548,691,338,586.70 : 2,137,200,691,609.20 = 844,772,542,434.80 : x - Step 2: Convert to fraction form
1,548,691,338,586.70/2,137,200,691,609.20 = 844,772,542,434.80/x - Step 3: Cross multiply
1,548,691,338,586.70x = 2,137,200,691,609.20 × 844,772,542,434.80 - Step 4: Simplify right side
1,548,691,338,586.70x = 1,805,448,461,944,116,916,256,768 - Step 5: Solve for x
x = 1,805,448,461,944,116,916,256,768/1,548,691,338,586.70 - Step 6: Final answer
x = 1,165,789,732,892.63
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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.