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Finding the Fourth Proportional to 625,798,511.80, 938,693,102.10 and 189,098,351.80

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Solution

The fourth proportional to 625,798,511.80, 938,693,102.10 and 189,098,351.80 is: 283,646,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,798,511.80 : 938,693,102.10 = 189,098,351.80 : x
  2. Step 2: Convert to fraction form
    625,798,511.80/938,693,102.10 = 189,098,351.80/x
  3. Step 3: Cross multiply
    625,798,511.80x = 938,693,102.10 × 189,098,351.80
  4. Step 4: Simplify right side
    625,798,511.80x = 177,505,318,453,139,136
  5. Step 5: Solve for x
    x = 177,505,318,453,139,136/625,798,511.80
  6. Step 6: Final answer
    x = 283,646,117.89

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Why These Related Problems?

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