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Finding the Fourth Proportional to 110,015,999.10, 165,023,998.65 and 110,015,999.10

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Solution

The fourth proportional to 110,015,999.10, 165,023,998.65 and 110,015,999.10 is: 165,023,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,015,999.10 : 165,023,998.65 = 110,015,999.10 : x
  2. Step 2: Convert to fraction form
    110,015,999.10/165,023,998.65 = 110,015,999.10/x
  3. Step 3: Cross multiply
    110,015,999.10x = 165,023,998.65 × 110,015,999.10
  4. Step 4: Simplify right side
    110,015,999.10x = 18,155,280,086,956,800
  5. Step 5: Solve for x
    x = 18,155,280,086,956,800/110,015,999.10
  6. Step 6: Final answer
    x = 165,023,998.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.