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Finding the Fourth Proportional to 419,484,672,021.20, 629,227,008,031.80 and 419,484,672,021.20

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Solution

The fourth proportional to 419,484,672,021.20, 629,227,008,031.80 and 419,484,672,021.20 is: 629,227,008,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,672,021.20 : 629,227,008,031.80 = 419,484,672,021.20 : x
  2. Step 2: Convert to fraction form
    419,484,672,021.20/629,227,008,031.80 = 419,484,672,021.20/x
  3. Step 3: Cross multiply
    419,484,672,021.20x = 629,227,008,031.80 × 419,484,672,021.20
  4. Step 4: Simplify right side
    419,484,672,021.20x = 263,951,085,091,100,639,100,928
  5. Step 5: Solve for x
    x = 263,951,085,091,100,639,100,928/419,484,672,021.20
  6. Step 6: Final answer
    x = 629,227,008,031.80

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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.