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Finding the Fourth Proportional to 378,072,003.20, 566,212,209.60 and 378,072,003.20

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Solution

The fourth proportional to 378,072,003.20, 566,212,209.60 and 378,072,003.20 is: 566,212,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,072,003.20 : 566,212,209.60 = 378,072,003.20 : x
  2. Step 2: Convert to fraction form
    378,072,003.20/566,212,209.60 = 378,072,003.20/x
  3. Step 3: Cross multiply
    378,072,003.20x = 566,212,209.60 × 378,072,003.20
  4. Step 4: Simplify right side
    378,072,003.20x = 214,068,984,319,770,272
  5. Step 5: Solve for x
    x = 214,068,984,319,770,272/378,072,003.20
  6. Step 6: Final answer
    x = 566,212,209.60

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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.