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Finding the Fourth Proportional to 461,135,701.80, 691,703,552.70 and 416,654,090.10

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Solution

The fourth proportional to 461,135,701.80, 691,703,552.70 and 416,654,090.10 is: 624,981,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,135,701.80 : 691,703,552.70 = 416,654,090.10 : x
  2. Step 2: Convert to fraction form
    461,135,701.80/691,703,552.70 = 416,654,090.10/x
  3. Step 3: Cross multiply
    461,135,701.80x = 691,703,552.70 × 416,654,090.10
  4. Step 4: Simplify right side
    461,135,701.80x = 288,201,114,369,155,936
  5. Step 5: Solve for x
    x = 288,201,114,369,155,936/461,135,701.80
  6. Step 6: Final answer
    x = 624,981,135.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.