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Finding the Fourth Proportional to 177,345,296.40, 247,678,753.20 and 177,345,296.40

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Solution

The fourth proportional to 177,345,296.40, 247,678,753.20 and 177,345,296.40 is: 247,678,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,345,296.40 : 247,678,753.20 = 177,345,296.40 : x
  2. Step 2: Convert to fraction form
    177,345,296.40/247,678,753.20 = 177,345,296.40/x
  3. Step 3: Cross multiply
    177,345,296.40x = 247,678,753.20 × 177,345,296.40
  4. Step 4: Simplify right side
    177,345,296.40x = 43,924,661,898,236,448
  5. Step 5: Solve for x
    x = 43,924,661,898,236,448/177,345,296.40
  6. Step 6: Final answer
    x = 247,678,753.20

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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.