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Finding the Fourth Proportional to 312,876,306.90, 438,933,822.30 and 312,876,306.90

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Solution

The fourth proportional to 312,876,306.90, 438,933,822.30 and 312,876,306.90 is: 438,933,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,876,306.90 : 438,933,822.30 = 312,876,306.90 : x
  2. Step 2: Convert to fraction form
    312,876,306.90/438,933,822.30 = 312,876,306.90/x
  3. Step 3: Cross multiply
    312,876,306.90x = 438,933,822.30 × 312,876,306.90
  4. Step 4: Simplify right side
    312,876,306.90x = 137,331,993,294,724,864
  5. Step 5: Solve for x
    x = 137,331,993,294,724,864/312,876,306.90
  6. Step 6: Final answer
    x = 438,933,822.30

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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.