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Finding the Fourth Proportional to 419,484,096,166.60, 629,226,144,249.90 and 419,484,096,166.60

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Solution

The fourth proportional to 419,484,096,166.60, 629,226,144,249.90 and 419,484,096,166.60 is: 629,226,144,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,096,166.60 : 629,226,144,249.90 = 419,484,096,166.60 : x
  2. Step 2: Convert to fraction form
    419,484,096,166.60/629,226,144,249.90 = 419,484,096,166.60/x
  3. Step 3: Cross multiply
    419,484,096,166.60x = 629,226,144,249.90 × 419,484,096,166.60
  4. Step 4: Simplify right side
    419,484,096,166.60x = 263,950,360,405,063,959,052,288
  5. Step 5: Solve for x
    x = 263,950,360,405,063,959,052,288/419,484,096,166.60
  6. Step 6: Final answer
    x = 629,226,144,249.90

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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.