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Finding the Fourth Proportional to 424,092,996,002.20, 636,139,494,003.30 and 424,092,996,002.20

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Solution

The fourth proportional to 424,092,996,002.20, 636,139,494,003.30 and 424,092,996,002.20 is: 636,139,494,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,092,996,002.20 : 636,139,494,003.30 = 424,092,996,002.20 : x
  2. Step 2: Convert to fraction form
    424,092,996,002.20/636,139,494,003.30 = 424,092,996,002.20/x
  3. Step 3: Cross multiply
    424,092,996,002.20x = 636,139,494,003.30 × 424,092,996,002.20
  4. Step 4: Simplify right side
    424,092,996,002.20x = 269,782,303,887,183,065,382,912
  5. Step 5: Solve for x
    x = 269,782,303,887,183,065,382,912/424,092,996,002.20
  6. Step 6: Final answer
    x = 636,139,494,003.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.