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Finding the Fourth Proportional to 318,687,219.20, 477,275,001.60 and 318,687,219.20

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Solution

The fourth proportional to 318,687,219.20, 477,275,001.60 and 318,687,219.20 is: 477,275,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,687,219.20 : 477,275,001.60 = 318,687,219.20 : x
  2. Step 2: Convert to fraction form
    318,687,219.20/477,275,001.60 = 318,687,219.20/x
  3. Step 3: Cross multiply
    318,687,219.20x = 477,275,001.60 × 318,687,219.20
  4. Step 4: Simplify right side
    318,687,219.20x = 152,101,443,053,579,552
  5. Step 5: Solve for x
    x = 152,101,443,053,579,552/318,687,219.20
  6. Step 6: Final answer
    x = 477,275,001.60

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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.