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Finding the Fourth Proportional to 419,484,096,166.73, 629,226,144,250.08 and 419,484,096,166.73

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Solution

The fourth proportional to 419,484,096,166.73, 629,226,144,250.08 and 419,484,096,166.73 is: 629,226,144,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,096,166.73 : 629,226,144,250.08 = 419,484,096,166.73 : x
  2. Step 2: Convert to fraction form
    419,484,096,166.73/629,226,144,250.08 = 419,484,096,166.73/x
  3. Step 3: Cross multiply
    419,484,096,166.73x = 629,226,144,250.08 × 419,484,096,166.73
  4. Step 4: Simplify right side
    419,484,096,166.73x = 263,950,360,405,221,262,229,504
  5. Step 5: Solve for x
    x = 263,950,360,405,221,262,229,504/419,484,096,166.73
  6. Step 6: Final answer
    x = 629,226,144,250.08

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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.