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Finding the Fourth Proportional to 416,061,685.20, 624,192,060.60 and 200,473,640.40

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Solution

The fourth proportional to 416,061,685.20, 624,192,060.60 and 200,473,640.40 is: 300,758,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,061,685.20 : 624,192,060.60 = 200,473,640.40 : x
  2. Step 2: Convert to fraction form
    416,061,685.20/624,192,060.60 = 200,473,640.40/x
  3. Step 3: Cross multiply
    416,061,685.20x = 624,192,060.60 × 200,473,640.40
  4. Step 4: Simplify right side
    416,061,685.20x = 125,134,054,697,259,424
  5. Step 5: Solve for x
    x = 125,134,054,697,259,424/416,061,685.20
  6. Step 6: Final answer
    x = 300,758,419.12

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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.