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Finding the Fourth Proportional to 16,509,729.90, 23,161,451.55 and 16,509,729.90

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Solution

The fourth proportional to 16,509,729.90, 23,161,451.55 and 16,509,729.90 is: 23,161,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509,729.90 : 23,161,451.55 = 16,509,729.90 : x
  2. Step 2: Convert to fraction form
    16,509,729.90/23,161,451.55 = 16,509,729.90/x
  3. Step 3: Cross multiply
    16,509,729.90x = 23,161,451.55 × 16,509,729.90
  4. Step 4: Simplify right side
    16,509,729.90x = 382,389,309,182,436.38
  5. Step 5: Solve for x
    x = 382,389,309,182,436.38/16,509,729.90
  6. Step 6: Final answer
    x = 23,161,451.55

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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.