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Finding the Fourth Proportional to 424,324,656,002.02, 636,486,984,003.03 and 424,324,656,002.02

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Solution

The fourth proportional to 424,324,656,002.02, 636,486,984,003.03 and 424,324,656,002.02 is: 636,486,984,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,324,656,002.02 : 636,486,984,003.03 = 424,324,656,002.02 : x
  2. Step 2: Convert to fraction form
    424,324,656,002.02/636,486,984,003.03 = 424,324,656,002.02/x
  3. Step 3: Cross multiply
    424,324,656,002.02x = 636,486,984,003.03 × 424,324,656,002.02
  4. Step 4: Simplify right side
    424,324,656,002.02x = 270,077,120,536,848,952,721,408
  5. Step 5: Solve for x
    x = 270,077,120,536,848,952,721,408/424,324,656,002.02
  6. Step 6: Final answer
    x = 636,486,984,003.03

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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.