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Finding the Fourth Proportional to 843,166,992.14, 1,163,648,505.08 and 466,823,580.83

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Solution

The fourth proportional to 843,166,992.14, 1,163,648,505.08 and 466,823,580.83 is: 644,259,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,166,992.14 : 1,163,648,505.08 = 466,823,580.83 : x
  2. Step 2: Convert to fraction form
    843,166,992.14/1,163,648,505.08 = 466,823,580.83/x
  3. Step 3: Cross multiply
    843,166,992.14x = 1,163,648,505.08 × 466,823,580.83
  4. Step 4: Simplify right side
    843,166,992.14x = 543,218,561,972,560,064
  5. Step 5: Solve for x
    x = 543,218,561,972,560,064/843,166,992.14
  6. Step 6: Final answer
    x = 644,259,757.60

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