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Finding the Fourth Proportional to 541,347,839, 747,040,013.78 and 293,823,878.84

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Solution

The fourth proportional to 541,347,839, 747,040,013.78 and 293,823,878.84 is: 405,466,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,347,839 : 747,040,013.78 = 293,823,878.84 : x
  2. Step 2: Convert to fraction form
    541,347,839/747,040,013.78 = 293,823,878.84/x
  3. Step 3: Cross multiply
    541,347,839x = 747,040,013.78 × 293,823,878.84
  4. Step 4: Simplify right side
    541,347,839x = 219,498,194,497,526,624
  5. Step 5: Solve for x
    x = 219,498,194,497,526,624/541,347,839
  6. Step 6: Final answer
    x = 405,466,095.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.