Finding the Fourth Proportional to 31,202,422,316,727, 43,059,443,412,606 and 17,328,898,767,382
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Solution
The fourth proportional to 31,202,422,316,727, 43,059,443,412,606 and 17,328,898,767,382 is: 23,913,936,177,860.61
Step by Step Solution
- Step 1: Write the proportion equation
31,202,422,316,727 : 43,059,443,412,606 = 17,328,898,767,382 : x - Step 2: Convert to fraction form
31,202,422,316,727/43,059,443,412,606 = 17,328,898,767,382/x - Step 3: Cross multiply
31,202,422,316,727x = 43,059,443,412,606 × 17,328,898,767,382 - Step 4: Simplify right side
31,202,422,316,727x = 746,172,735,876,863,038,565,908,480 - Step 5: Solve for x
x = 746,172,735,876,863,038,565,908,480/31,202,422,316,727 - Step 6: Final answer
x = 23,913,936,177,860.61
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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.