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Finding the Fourth Proportional to 398,695,905.80, 596,700,165.90 and 398,695,905.80

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Solution

The fourth proportional to 398,695,905.80, 596,700,165.90 and 398,695,905.80 is: 596,700,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,695,905.80 : 596,700,165.90 = 398,695,905.80 : x
  2. Step 2: Convert to fraction form
    398,695,905.80/596,700,165.90 = 398,695,905.80/x
  3. Step 3: Cross multiply
    398,695,905.80x = 596,700,165.90 × 398,695,905.80
  4. Step 4: Simplify right side
    398,695,905.80x = 237,901,913,134,510,784
  5. Step 5: Solve for x
    x = 237,901,913,134,510,784/398,695,905.80
  6. Step 6: Final answer
    x = 596,700,165.90

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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.