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Finding the Fourth Proportional to 541,337,494,537.20, 812,006,241,805.80 and 541,337,494,537.20

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Solution

The fourth proportional to 541,337,494,537.20, 812,006,241,805.80 and 541,337,494,537.20 is: 812,006,241,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337,494,537.20 : 812,006,241,805.80 = 541,337,494,537.20 : x
  2. Step 2: Convert to fraction form
    541,337,494,537.20/812,006,241,805.80 = 541,337,494,537.20/x
  3. Step 3: Cross multiply
    541,337,494,537.20x = 812,006,241,805.80 × 541,337,494,537.20
  4. Step 4: Simplify right side
    541,337,494,537.20x = 439,569,424,487,719,601,438,720
  5. Step 5: Solve for x
    x = 439,569,424,487,719,601,438,720/541,337,494,537.20
  6. Step 6: Final answer
    x = 812,006,241,805.80

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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.