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Finding the Fourth Proportional to 1,087,343,999.21, 1,631,015,998.82 and 1,087,343,999.21

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Solution

The fourth proportional to 1,087,343,999.21, 1,631,015,998.82 and 1,087,343,999.21 is: 1,631,015,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,343,999.21 : 1,631,015,998.82 = 1,087,343,999.21 : x
  2. Step 2: Convert to fraction form
    1,087,343,999.21/1,631,015,998.82 = 1,087,343,999.21/x
  3. Step 3: Cross multiply
    1,087,343,999.21x = 1,631,015,998.82 × 1,087,343,999.21
  4. Step 4: Simplify right side
    1,087,343,999.21x = 1,773,475,458,935,204,352
  5. Step 5: Solve for x
    x = 1,773,475,458,935,204,352/1,087,343,999.21
  6. Step 6: Final answer
    x = 1,631,015,998.82

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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.