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Finding the Fourth Proportional to 424,324,656,002.40, 636,486,984,003.60 and 424,324,656,002.40

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Solution

The fourth proportional to 424,324,656,002.40, 636,486,984,003.60 and 424,324,656,002.40 is: 636,486,984,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,324,656,002.40 : 636,486,984,003.60 = 424,324,656,002.40 : x
  2. Step 2: Convert to fraction form
    424,324,656,002.40/636,486,984,003.60 = 424,324,656,002.40/x
  3. Step 3: Cross multiply
    424,324,656,002.40x = 636,486,984,003.60 × 424,324,656,002.40
  4. Step 4: Simplify right side
    424,324,656,002.40x = 270,077,120,537,332,639,858,688
  5. Step 5: Solve for x
    x = 270,077,120,537,332,639,858,688/424,324,656,002.40
  6. Step 6: Final answer
    x = 636,486,984,003.60

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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.