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Finding the Fourth Proportional to 283,443,612.40, 424,493,572.20 and 283,443,612.40

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Solution

The fourth proportional to 283,443,612.40, 424,493,572.20 and 283,443,612.40 is: 424,493,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,443,612.40 : 424,493,572.20 = 283,443,612.40 : x
  2. Step 2: Convert to fraction form
    283,443,612.40/424,493,572.20 = 283,443,612.40/x
  3. Step 3: Cross multiply
    283,443,612.40x = 424,493,572.20 × 283,443,612.40
  4. Step 4: Simplify right side
    283,443,612.40x = 120,319,991,544,948,208
  5. Step 5: Solve for x
    x = 120,319,991,544,948,208/283,443,612.40
  6. Step 6: Final answer
    x = 424,493,572.20

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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.