Finding the Fourth Proportional to 31,202,422,316,403, 43,059,443,412,160 and 17,328,898,767,057
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Solution
The fourth proportional to 31,202,422,316,403, 43,059,443,412,160 and 17,328,898,767,057 is: 23,913,936,177,412.73
Step by Step Solution
- Step 1: Write the proportion equation
31,202,422,316,403 : 43,059,443,412,160 = 17,328,898,767,057 : x - Step 2: Convert to fraction form
31,202,422,316,403/43,059,443,412,160 = 17,328,898,767,057/x - Step 3: Cross multiply
31,202,422,316,403x = 43,059,443,412,160 × 17,328,898,767,057 - Step 4: Simplify right side
31,202,422,316,403x = 746,172,735,855,140,124,774,891,520 - Step 5: Solve for x
x = 746,172,735,855,140,124,774,891,520/31,202,422,316,403 - Step 6: Final answer
x = 23,913,936,177,412.73
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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.