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Finding the Fourth Proportional to 498,636,107.60, 699,238,463.20 and 498,636,107.60

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Solution

The fourth proportional to 498,636,107.60, 699,238,463.20 and 498,636,107.60 is: 699,238,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,107.60 : 699,238,463.20 = 498,636,107.60 : x
  2. Step 2: Convert to fraction form
    498,636,107.60/699,238,463.20 = 498,636,107.60/x
  3. Step 3: Cross multiply
    498,636,107.60x = 699,238,463.20 × 498,636,107.60
  4. Step 4: Simplify right side
    498,636,107.60x = 348,665,545,574,253,888
  5. Step 5: Solve for x
    x = 348,665,545,574,253,888/498,636,107.60
  6. Step 6: Final answer
    x = 699,238,463.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.