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Finding the Fourth Proportional to 16,384,809.20, 22,972,325.20 and 16,384,809.20

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Solution

The fourth proportional to 16,384,809.20, 22,972,325.20 and 16,384,809.20 is: 22,972,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384,809.20 : 22,972,325.20 = 16,384,809.20 : x
  2. Step 2: Convert to fraction form
    16,384,809.20/22,972,325.20 = 16,384,809.20/x
  3. Step 3: Cross multiply
    16,384,809.20x = 22,972,325.20 × 16,384,809.20
  4. Step 4: Simplify right side
    16,384,809.20x = 376,397,165,282,351.81
  5. Step 5: Solve for x
    x = 376,397,165,282,351.81/16,384,809.20
  6. Step 6: Final answer
    x = 22,972,325.20

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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.