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Finding the Fourth Proportional to 378,432,001.60, 567,648,002.40 and 378,432,001.60

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Solution

The fourth proportional to 378,432,001.60, 567,648,002.40 and 378,432,001.60 is: 567,648,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,432,001.60 : 567,648,002.40 = 378,432,001.60 : x
  2. Step 2: Convert to fraction form
    378,432,001.60/567,648,002.40 = 378,432,001.60/x
  3. Step 3: Cross multiply
    378,432,001.60x = 567,648,002.40 × 378,432,001.60
  4. Step 4: Simplify right side
    378,432,001.60x = 214,816,169,752,473,600
  5. Step 5: Solve for x
    x = 214,816,169,752,473,600/378,432,001.60
  6. Step 6: Final answer
    x = 567,648,002.40

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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.