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Finding the Fourth Proportional to 419,472,002.70, 629,208,004.05 and 266,794,908.30

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Solution

The fourth proportional to 419,472,002.70, 629,208,004.05 and 266,794,908.30 is: 400,192,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,472,002.70 : 629,208,004.05 = 266,794,908.30 : x
  2. Step 2: Convert to fraction form
    419,472,002.70/629,208,004.05 = 266,794,908.30/x
  3. Step 3: Cross multiply
    419,472,002.70x = 629,208,004.05 × 266,794,908.30
  4. Step 4: Simplify right side
    419,472,002.70x = 167,869,491,742,145,760
  5. Step 5: Solve for x
    x = 167,869,491,742,145,760/419,472,002.70
  6. Step 6: Final answer
    x = 400,192,362.45

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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.