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Finding the Fourth Proportional to 312,876,331.40, 438,933,856.60 and 312,876,331.40

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Solution

The fourth proportional to 312,876,331.40, 438,933,856.60 and 312,876,331.40 is: 438,933,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,876,331.40 : 438,933,856.60 = 312,876,331.40 : x
  2. Step 2: Convert to fraction form
    312,876,331.40/438,933,856.60 = 312,876,331.40/x
  3. Step 3: Cross multiply
    312,876,331.40x = 438,933,856.60 × 312,876,331.40
  4. Step 4: Simplify right side
    312,876,331.40x = 137,332,014,780,261,680
  5. Step 5: Solve for x
    x = 137,332,014,780,261,680/312,876,331.40
  6. Step 6: Final answer
    x = 438,933,856.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.