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Finding the Fourth Proportional to 419,484,672,021.45, 629,227,008,032.20 and 419,484,672,021.45

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Solution

The fourth proportional to 419,484,672,021.45, 629,227,008,032.20 and 419,484,672,021.45 is: 629,227,008,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,672,021.45 : 629,227,008,032.20 = 419,484,672,021.45 : x
  2. Step 2: Convert to fraction form
    419,484,672,021.45/629,227,008,032.20 = 419,484,672,021.45/x
  3. Step 3: Cross multiply
    419,484,672,021.45x = 629,227,008,032.20 × 419,484,672,021.45
  4. Step 4: Simplify right side
    419,484,672,021.45x = 263,951,085,091,425,680,883,712
  5. Step 5: Solve for x
    x = 263,951,085,091,425,680,883,712/419,484,672,021.45
  6. Step 6: Final answer
    x = 629,227,008,032.20

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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.