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Finding the Fourth Proportional to 415,206,843.60, 622,810,265.40 and 242,594,806.80

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Solution

The fourth proportional to 415,206,843.60, 622,810,265.40 and 242,594,806.80 is: 363,892,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,206,843.60 : 622,810,265.40 = 242,594,806.80 : x
  2. Step 2: Convert to fraction form
    415,206,843.60/622,810,265.40 = 242,594,806.80/x
  3. Step 3: Cross multiply
    415,206,843.60x = 622,810,265.40 × 242,594,806.80
  4. Step 4: Simplify right side
    415,206,843.60x = 151,090,536,007,769,728
  5. Step 5: Solve for x
    x = 151,090,536,007,769,728/415,206,843.60
  6. Step 6: Final answer
    x = 363,892,210.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.