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Finding the Fourth Proportional to 106,206,906.10, 159,310,359.15 and 106,206,906.10

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Solution

The fourth proportional to 106,206,906.10, 159,310,359.15 and 106,206,906.10 is: 159,310,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206,906.10 : 159,310,359.15 = 106,206,906.10 : x
  2. Step 2: Convert to fraction form
    106,206,906.10/159,310,359.15 = 106,206,906.10/x
  3. Step 3: Cross multiply
    106,206,906.10x = 159,310,359.15 × 106,206,906.10
  4. Step 4: Simplify right side
    106,206,906.10x = 16,919,860,355,001,326
  5. Step 5: Solve for x
    x = 16,919,860,355,001,326/106,206,906.10
  6. Step 6: Final answer
    x = 159,310,359.15

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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.