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Finding the Fourth Proportional to 9,786,579.80, 14,679,869.78 and 9,786,579.80

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Solution

The fourth proportional to 9,786,579.80, 14,679,869.78 and 9,786,579.80 is: 14,679,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,579.80 : 14,679,869.78 = 9,786,579.80 : x
  2. Step 2: Convert to fraction form
    9,786,579.80/14,679,869.78 = 9,786,579.80/x
  3. Step 3: Cross multiply
    9,786,579.80x = 14,679,869.78 × 9,786,579.80
  4. Step 4: Simplify right side
    9,786,579.80x = 143,665,717,055,578.44
  5. Step 5: Solve for x
    x = 143,665,717,055,578.44/9,786,579.80
  6. Step 6: Final answer
    x = 14,679,869.78

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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.