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Finding the Fourth Proportional to 384,914,624.40, 576,238,195.80 and 362,491,750.80

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Solution

The fourth proportional to 384,914,624.40, 576,238,195.80 and 362,491,750.80 is: 542,669,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,914,624.40 : 576,238,195.80 = 362,491,750.80 : x
  2. Step 2: Convert to fraction form
    384,914,624.40/576,238,195.80 = 362,491,750.80/x
  3. Step 3: Cross multiply
    384,914,624.40x = 576,238,195.80 × 362,491,750.80
  4. Step 4: Simplify right side
    384,914,624.40x = 208,881,592,473,375,200
  5. Step 5: Solve for x
    x = 208,881,592,473,375,200/384,914,624.40
  6. Step 6: Final answer
    x = 542,669,930.50

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Why These Related Problems?

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