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Finding the Fourth Proportional to 299,583,733.60, 449,375,600.40 and 254,234,101.60

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Solution

The fourth proportional to 299,583,733.60, 449,375,600.40 and 254,234,101.60 is: 381,351,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583,733.60 : 449,375,600.40 = 254,234,101.60 : x
  2. Step 2: Convert to fraction form
    299,583,733.60/449,375,600.40 = 254,234,101.60/x
  3. Step 3: Cross multiply
    299,583,733.60x = 449,375,600.40 × 254,234,101.60
  4. Step 4: Simplify right side
    299,583,733.60x = 114,246,602,048,654,592
  5. Step 5: Solve for x
    x = 114,246,602,048,654,592/299,583,733.60
  6. Step 6: Final answer
    x = 381,351,152.40

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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.