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Finding the Fourth Proportional to 422,092,400.40, 633,138,600.60 and 149,490,723.60

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Solution

The fourth proportional to 422,092,400.40, 633,138,600.60 and 149,490,723.60 is: 224,236,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,092,400.40 : 633,138,600.60 = 149,490,723.60 : x
  2. Step 2: Convert to fraction form
    422,092,400.40/633,138,600.60 = 149,490,723.60/x
  3. Step 3: Cross multiply
    422,092,400.40x = 633,138,600.60 × 149,490,723.60
  4. Step 4: Simplify right side
    422,092,400.40x = 94,648,347,542,785,392
  5. Step 5: Solve for x
    x = 94,648,347,542,785,392/422,092,400.40
  6. Step 6: Final answer
    x = 224,236,085.40

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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.