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Finding the Fourth Proportional to 185,652,007.20, 278,478,010.80 and 185,652,007.20

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Solution

The fourth proportional to 185,652,007.20, 278,478,010.80 and 185,652,007.20 is: 278,478,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,652,007.20 : 278,478,010.80 = 185,652,007.20 : x
  2. Step 2: Convert to fraction form
    185,652,007.20/278,478,010.80 = 185,652,007.20/x
  3. Step 3: Cross multiply
    185,652,007.20x = 278,478,010.80 × 185,652,007.20
  4. Step 4: Simplify right side
    185,652,007.20x = 51,700,001,666,083,280
  5. Step 5: Solve for x
    x = 51,700,001,666,083,280/185,652,007.20
  6. Step 6: Final answer
    x = 278,478,010.80

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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.