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Finding the Fourth Proportional to 299,523,240, 449,284,860 and 72,588,456

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Solution

The fourth proportional to 299,523,240, 449,284,860 and 72,588,456 is: 108,882,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523,240 : 449,284,860 = 72,588,456 : x
  2. Step 2: Convert to fraction form
    299,523,240/449,284,860 = 72,588,456/x
  3. Step 3: Cross multiply
    299,523,240x = 449,284,860 × 72,588,456
  4. Step 4: Simplify right side
    299,523,240x = 32,612,894,291,576,160
  5. Step 5: Solve for x
    x = 32,612,894,291,576,160/299,523,240
  6. Step 6: Final answer
    x = 108,882,684

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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.