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Finding the Fourth Proportional to 814,879,022.74, 1,222,318,534.11 and 814,879,022.74

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Solution

The fourth proportional to 814,879,022.74, 1,222,318,534.11 and 814,879,022.74 is: 1,222,318,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,879,022.74 : 1,222,318,534.11 = 814,879,022.74 : x
  2. Step 2: Convert to fraction form
    814,879,022.74/1,222,318,534.11 = 814,879,022.74/x
  3. Step 3: Cross multiply
    814,879,022.74x = 1,222,318,534.11 × 814,879,022.74
  4. Step 4: Simplify right side
    814,879,022.74x = 996,041,732,546,475,392
  5. Step 5: Solve for x
    x = 996,041,732,546,475,392/814,879,022.74
  6. Step 6: Final answer
    x = 1,222,318,534.11

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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.