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Finding the Fourth Proportional to 75,379,233.20, 105,769,805.20 and 75,379,233.20

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Solution

The fourth proportional to 75,379,233.20, 105,769,805.20 and 75,379,233.20 is: 105,769,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,379,233.20 : 105,769,805.20 = 75,379,233.20 : x
  2. Step 2: Convert to fraction form
    75,379,233.20/105,769,805.20 = 75,379,233.20/x
  3. Step 3: Cross multiply
    75,379,233.20x = 105,769,805.20 × 75,379,233.20
  4. Step 4: Simplify right side
    75,379,233.20x = 7,972,846,811,689,373
  5. Step 5: Solve for x
    x = 7,972,846,811,689,373/75,379,233.20
  6. Step 6: Final answer
    x = 105,769,805.20

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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.