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Finding the Fourth Proportional to 419,002,812.30, 628,504,218.45 and 419,002,812.30

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Solution

The fourth proportional to 419,002,812.30, 628,504,218.45 and 419,002,812.30 is: 628,504,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,002,812.30 : 628,504,218.45 = 419,002,812.30 : x
  2. Step 2: Convert to fraction form
    419,002,812.30/628,504,218.45 = 419,002,812.30/x
  3. Step 3: Cross multiply
    419,002,812.30x = 628,504,218.45 × 419,002,812.30
  4. Step 4: Simplify right side
    419,002,812.30x = 263,345,035,072,963,584
  5. Step 5: Solve for x
    x = 263,345,035,072,963,584/419,002,812.30
  6. Step 6: Final answer
    x = 628,504,218.45

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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.