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Finding the Fourth Proportional to 1,269,917,999.10, 1,904,876,998.65 and 1,269,917,999.10

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Solution

The fourth proportional to 1,269,917,999.10, 1,904,876,998.65 and 1,269,917,999.10 is: 1,904,876,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,917,999.10 : 1,904,876,998.65 = 1,269,917,999.10 : x
  2. Step 2: Convert to fraction form
    1,269,917,999.10/1,904,876,998.65 = 1,269,917,999.10/x
  3. Step 3: Cross multiply
    1,269,917,999.10x = 1,904,876,998.65 × 1,269,917,999.10
  4. Step 4: Simplify right side
    1,269,917,999.10x = 2,419,037,586,657,221,120
  5. Step 5: Solve for x
    x = 2,419,037,586,657,221,120/1,269,917,999.10
  6. Step 6: Final answer
    x = 1,904,876,998.65

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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.