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Finding the Fourth Proportional to 16,404,815.90, 24,607,223.85 and 16,404,815.90

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Solution

The fourth proportional to 16,404,815.90, 24,607,223.85 and 16,404,815.90 is: 24,607,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404,815.90 : 24,607,223.85 = 16,404,815.90 : x
  2. Step 2: Convert to fraction form
    16,404,815.90/24,607,223.85 = 16,404,815.90/x
  3. Step 3: Cross multiply
    16,404,815.90x = 24,607,223.85 × 16,404,815.90
  4. Step 4: Simplify right side
    16,404,815.90x = 403,676,977,069,339.25
  5. Step 5: Solve for x
    x = 403,676,977,069,339.25/16,404,815.90
  6. Step 6: Final answer
    x = 24,607,223.85

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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.