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Finding the Fourth Proportional to 442,847,807.80, 664,271,711.70 and 170,227,468.60

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Solution

The fourth proportional to 442,847,807.80, 664,271,711.70 and 170,227,468.60 is: 255,341,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,847,807.80 : 664,271,711.70 = 170,227,468.60 : x
  2. Step 2: Convert to fraction form
    442,847,807.80/664,271,711.70 = 170,227,468.60/x
  3. Step 3: Cross multiply
    442,847,807.80x = 664,271,711.70 × 170,227,468.60
  4. Step 4: Simplify right side
    442,847,807.80x = 113,077,291,945,280,000
  5. Step 5: Solve for x
    x = 113,077,291,945,280,000/442,847,807.80
  6. Step 6: Final answer
    x = 255,341,202.90

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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.