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Finding the Fourth Proportional to 385,930,915.20, 541,736,553.60 and 385,930,915.20

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Solution

The fourth proportional to 385,930,915.20, 541,736,553.60 and 385,930,915.20 is: 541,736,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,930,915.20 : 541,736,553.60 = 385,930,915.20 : x
  2. Step 2: Convert to fraction form
    385,930,915.20/541,736,553.60 = 385,930,915.20/x
  3. Step 3: Cross multiply
    385,930,915.20x = 541,736,553.60 × 385,930,915.20
  4. Step 4: Simplify right side
    385,930,915.20x = 209,072,883,928,141,856
  5. Step 5: Solve for x
    x = 209,072,883,928,141,856/385,930,915.20
  6. Step 6: Final answer
    x = 541,736,553.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.