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Finding the Fourth Proportional to 1,001,978,204.82, 1,377,826,631.70 and 869,589,359.82

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Solution

The fourth proportional to 1,001,978,204.82, 1,377,826,631.70 and 869,589,359.82 is: 1,195,777,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,978,204.82 : 1,377,826,631.70 = 869,589,359.82 : x
  2. Step 2: Convert to fraction form
    1,001,978,204.82/1,377,826,631.70 = 869,589,359.82/x
  3. Step 3: Cross multiply
    1,001,978,204.82x = 1,377,826,631.70 × 869,589,359.82
  4. Step 4: Simplify right side
    1,001,978,204.82x = 1,198,143,378,602,950,144
  5. Step 5: Solve for x
    x = 1,198,143,378,602,950,144/1,001,978,204.82
  6. Step 6: Final answer
    x = 1,195,777,885.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.