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Finding the Fourth Proportional to 398,596,098.80, 597,894,148.20 and 398,596,098.80

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Solution

The fourth proportional to 398,596,098.80, 597,894,148.20 and 398,596,098.80 is: 597,894,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,596,098.80 : 597,894,148.20 = 398,596,098.80 : x
  2. Step 2: Convert to fraction form
    398,596,098.80/597,894,148.20 = 398,596,098.80/x
  3. Step 3: Cross multiply
    398,596,098.80x = 597,894,148.20 × 398,596,098.80
  4. Step 4: Simplify right side
    398,596,098.80x = 238,318,274,967,869,056
  5. Step 5: Solve for x
    x = 238,318,274,967,869,056/398,596,098.80
  6. Step 6: Final answer
    x = 597,894,148.20

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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.