Finding the Fourth Proportional to 34,715,788,486,738, 47,904,674,238,162 and 20,101,046,365,542
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Solution
The fourth proportional to 34,715,788,486,738, 47,904,674,238,162 and 20,101,046,365,542 is: 27,737,640,997,419.27
Step by Step Solution
- Step 1: Write the proportion equation
34,715,788,486,738 : 47,904,674,238,162 = 20,101,046,365,542 : x - Step 2: Convert to fraction form
34,715,788,486,738/47,904,674,238,162 = 20,101,046,365,542/x - Step 3: Cross multiply
34,715,788,486,738x = 47,904,674,238,162 × 20,101,046,365,542 - Step 4: Simplify right side
34,715,788,486,738x = 962,934,077,987,479,731,201,638,400 - Step 5: Solve for x
x = 962,934,077,987,479,731,201,638,400/34,715,788,486,738 - Step 6: Final answer
x = 27,737,640,997,419.27
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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.