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Finding the Fourth Proportional to 76,444,267.30, 107,324,305.10 and 76,444,267.30

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Solution

The fourth proportional to 76,444,267.30, 107,324,305.10 and 76,444,267.30 is: 107,324,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,444,267.30 : 107,324,305.10 = 76,444,267.30 : x
  2. Step 2: Convert to fraction form
    76,444,267.30/107,324,305.10 = 76,444,267.30/x
  3. Step 3: Cross multiply
    76,444,267.30x = 107,324,305.10 × 76,444,267.30
  4. Step 4: Simplify right side
    76,444,267.30x = 8,204,327,866,851,152
  5. Step 5: Solve for x
    x = 8,204,327,866,851,152/76,444,267.30
  6. Step 6: Final answer
    x = 107,324,305.10

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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.