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Finding the Fourth Proportional to 330,838,847.20, 496,258,270.80 and 330,838,847.20

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Solution

The fourth proportional to 330,838,847.20, 496,258,270.80 and 330,838,847.20 is: 496,258,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,838,847.20 : 496,258,270.80 = 330,838,847.20 : x
  2. Step 2: Convert to fraction form
    330,838,847.20/496,258,270.80 = 330,838,847.20/x
  3. Step 3: Cross multiply
    330,838,847.20x = 496,258,270.80 × 330,838,847.20
  4. Step 4: Simplify right side
    330,838,847.20x = 164,181,514,224,937,408
  5. Step 5: Solve for x
    x = 164,181,514,224,937,408/330,838,847.20
  6. Step 6: Final answer
    x = 496,258,270.80

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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.