Finding the Fourth Proportional to 34,715,788,486,731, 47,904,674,238,160 and 20,101,046,365,538
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Solution
The fourth proportional to 34,715,788,486,731, 47,904,674,238,160 and 20,101,046,365,538 is: 27,737,640,997,418.18
Step by Step Solution
- Step 1: Write the proportion equation
34,715,788,486,731 : 47,904,674,238,160 = 20,101,046,365,538 : x - Step 2: Convert to fraction form
34,715,788,486,731/47,904,674,238,160 = 20,101,046,365,538/x - Step 3: Cross multiply
34,715,788,486,731x = 47,904,674,238,160 × 20,101,046,365,538 - Step 4: Simplify right side
34,715,788,486,731x = 962,934,077,987,247,871,687,131,136 - Step 5: Solve for x
x = 962,934,077,987,247,871,687,131,136/34,715,788,486,731 - Step 6: Final answer
x = 27,737,640,997,418.18
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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.