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Finding the Fourth Proportional to 13,782,642.90, 20,673,964.35 and 13,782,642.90

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Solution

The fourth proportional to 13,782,642.90, 20,673,964.35 and 13,782,642.90 is: 20,673,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782,642.90 : 20,673,964.35 = 13,782,642.90 : x
  2. Step 2: Convert to fraction form
    13,782,642.90/20,673,964.35 = 13,782,642.90/x
  3. Step 3: Cross multiply
    13,782,642.90x = 20,673,964.35 × 13,782,642.90
  4. Step 4: Simplify right side
    13,782,642.90x = 284,941,867,963,380.62
  5. Step 5: Solve for x
    x = 284,941,867,963,380.62/13,782,642.90
  6. Step 6: Final answer
    x = 20,673,964.35

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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.