Finding the Fourth Proportional to 56,270,780,951,010, 77,655,561,202,476 and 31,271,294,717,442
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Solution
The fourth proportional to 56,270,780,951,010, 77,655,561,202,476 and 31,271,294,717,442 is: 43,155,433,419,791.46
Step by Step Solution
- Step 1: Write the proportion equation
56,270,780,951,010 : 77,655,561,202,476 = 31,271,294,717,442 : x - Step 2: Convert to fraction form
56,270,780,951,010/77,655,561,202,476 = 31,271,294,717,442/x - Step 3: Cross multiply
56,270,780,951,010x = 77,655,561,202,476 × 31,271,294,717,442 - Step 4: Simplify right side
56,270,780,951,010x = 2,428,389,940,810,981,527,728,947,200 - Step 5: Solve for x
x = 2,428,389,940,810,981,527,728,947,200/56,270,780,951,010 - Step 6: Final answer
x = 43,155,433,419,791.46
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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.