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Finding the Fourth Proportional to 392,578,027.50, 541,750,649.49 and 213,963,524.58

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Solution

The fourth proportional to 392,578,027.50, 541,750,649.49 and 213,963,524.58 is: 295,265,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,578,027.50 : 541,750,649.49 = 213,963,524.58 : x
  2. Step 2: Convert to fraction form
    392,578,027.50/541,750,649.49 = 213,963,524.58/x
  3. Step 3: Cross multiply
    392,578,027.50x = 541,750,649.49 × 213,963,524.58
  4. Step 4: Simplify right side
    392,578,027.50x = 115,914,878,408,384,592
  5. Step 5: Solve for x
    x = 115,914,878,408,384,592/392,578,027.50
  6. Step 6: Final answer
    x = 295,265,833.26

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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.