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Finding the Fourth Proportional to 299,201,394.96, 449,077,978.80 and 151,752,439.44

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Solution

The fourth proportional to 299,201,394.96, 449,077,978.80 and 151,752,439.44 is: 227,768,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,201,394.96 : 449,077,978.80 = 151,752,439.44 : x
  2. Step 2: Convert to fraction form
    299,201,394.96/449,077,978.80 = 151,752,439.44/x
  3. Step 3: Cross multiply
    299,201,394.96x = 449,077,978.80 × 151,752,439.44
  4. Step 4: Simplify right side
    299,201,394.96x = 68,148,678,781,684,608
  5. Step 5: Solve for x
    x = 68,148,678,781,684,608/299,201,394.96
  6. Step 6: Final answer
    x = 227,768,586.41

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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.