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Finding the Fourth Proportional to 2,086,145,999.10, 3,129,218,998.65 and 2,086,145,999.10

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Solution

The fourth proportional to 2,086,145,999.10, 3,129,218,998.65 and 2,086,145,999.10 is: 3,129,218,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,145,999.10 : 3,129,218,998.65 = 2,086,145,999.10 : x
  2. Step 2: Convert to fraction form
    2,086,145,999.10/3,129,218,998.65 = 2,086,145,999.10/x
  3. Step 3: Cross multiply
    2,086,145,999.10x = 3,129,218,998.65 × 2,086,145,999.10
  4. Step 4: Simplify right side
    2,086,145,999.10x = 6,528,007,694,341,405,696
  5. Step 5: Solve for x
    x = 6,528,007,694,341,405,696/2,086,145,999.10
  6. Step 6: Final answer
    x = 3,129,218,998.65

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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.