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Finding the Fourth Proportional to 20,702,997.65, 31,054,496.48 and 20,702,997.65

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Solution

The fourth proportional to 20,702,997.65, 31,054,496.48 and 20,702,997.65 is: 31,054,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702,997.65 : 31,054,496.48 = 20,702,997.65 : x
  2. Step 2: Convert to fraction form
    20,702,997.65/31,054,496.48 = 20,702,997.65/x
  3. Step 3: Cross multiply
    20,702,997.65x = 31,054,496.48 × 20,702,997.65
  4. Step 4: Simplify right side
    20,702,997.65x = 642,921,167,647,373.25
  5. Step 5: Solve for x
    x = 642,921,167,647,373.25/20,702,997.65
  6. Step 6: Final answer
    x = 31,054,496.48

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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.