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Finding the Fourth Proportional to 9,786,588.30, 14,679,882.45 and 9,786,588.30

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Solution

The fourth proportional to 9,786,588.30, 14,679,882.45 and 9,786,588.30 is: 14,679,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,588.30 : 14,679,882.45 = 9,786,588.30 : x
  2. Step 2: Convert to fraction form
    9,786,588.30/14,679,882.45 = 9,786,588.30/x
  3. Step 3: Cross multiply
    9,786,588.30x = 14,679,882.45 × 9,786,588.30
  4. Step 4: Simplify right side
    9,786,588.30x = 143,665,965,830,545.34
  5. Step 5: Solve for x
    x = 143,665,965,830,545.34/9,786,588.30
  6. Step 6: Final answer
    x = 14,679,882.45

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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.