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Finding the Fourth Proportional to 996,693,641.64, 1,375,451,658.36 and 550,667,263.14

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Solution

The fourth proportional to 996,693,641.64, 1,375,451,658.36 and 550,667,263.14 is: 759,928,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,693,641.64 : 1,375,451,658.36 = 550,667,263.14 : x
  2. Step 2: Convert to fraction form
    996,693,641.64/1,375,451,658.36 = 550,667,263.14/x
  3. Step 3: Cross multiply
    996,693,641.64x = 1,375,451,658.36 × 550,667,263.14
  4. Step 4: Simplify right side
    996,693,641.64x = 757,416,200,290,475,392
  5. Step 5: Solve for x
    x = 757,416,200,290,475,392/996,693,641.64
  6. Step 6: Final answer
    x = 759,928,797.22

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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.