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Finding the Fourth Proportional to 419,484,096,274.73, 629,226,144,412.09 and 419,484,096,274.73

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Solution

The fourth proportional to 419,484,096,274.73, 629,226,144,412.09 and 419,484,096,274.73 is: 629,226,144,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,096,274.73 : 629,226,144,412.09 = 419,484,096,274.73 : x
  2. Step 2: Convert to fraction form
    419,484,096,274.73/629,226,144,412.09 = 419,484,096,274.73/x
  3. Step 3: Cross multiply
    419,484,096,274.73x = 629,226,144,412.09 × 419,484,096,274.73
  4. Step 4: Simplify right side
    419,484,096,274.73x = 263,950,360,541,138,287,329,280
  5. Step 5: Solve for x
    x = 263,950,360,541,138,287,329,280/419,484,096,274.73
  6. Step 6: Final answer
    x = 629,226,144,412.09

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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.