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Finding the Fourth Proportional to 398,699,903.20, 598,161,829.20 and 194,234,648.80

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Solution

The fourth proportional to 398,699,903.20, 598,161,829.20 and 194,234,648.80 is: 291,406,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,699,903.20 : 598,161,829.20 = 194,234,648.80 : x
  2. Step 2: Convert to fraction form
    398,699,903.20/598,161,829.20 = 194,234,648.80/x
  3. Step 3: Cross multiply
    398,699,903.20x = 598,161,829.20 × 194,234,648.80
  4. Step 4: Simplify right side
    398,699,903.20x = 116,183,752,820,227,600
  5. Step 5: Solve for x
    x = 116,183,752,820,227,600/398,699,903.20
  6. Step 6: Final answer
    x = 291,406,523.77

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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.