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Finding the Fourth Proportional to 614,801,909.88, 922,202,142.05 and 200,278,052.90

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Solution

The fourth proportional to 614,801,909.88, 922,202,142.05 and 200,278,052.90 is: 300,416,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,801,909.88 : 922,202,142.05 = 200,278,052.90 : x
  2. Step 2: Convert to fraction form
    614,801,909.88/922,202,142.05 = 200,278,052.90/x
  3. Step 3: Cross multiply
    614,801,909.88x = 922,202,142.05 × 200,278,052.90
  4. Step 4: Simplify right side
    614,801,909.88x = 184,696,849,384,370,816
  5. Step 5: Solve for x
    x = 184,696,849,384,370,816/614,801,909.88
  6. Step 6: Final answer
    x = 300,416,843.89

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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.