Finding the Fourth Proportional to 135,715,666,449.71, 187,296,125,373.97 and 74,748,021,541.14
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Solution
The fourth proportional to 135,715,666,449.71, 187,296,125,373.97 and 74,748,021,541.14 is: 103,156,954,390.47
Step by Step Solution
- Step 1: Write the proportion equation
135,715,666,449.71 : 187,296,125,373.97 = 74,748,021,541.14 : x - Step 2: Convert to fraction form
135,715,666,449.71/187,296,125,373.97 = 74,748,021,541.14/x - Step 3: Cross multiply
135,715,666,449.71x = 187,296,125,373.97 × 74,748,021,541.14 - Step 4: Simplify right side
135,715,666,449.71x = 14,000,014,814,024,629,747,712 - Step 5: Solve for x
x = 14,000,014,814,024,629,747,712/135,715,666,449.71 - Step 6: Final answer
x = 103,156,954,390.47
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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.