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Finding the Fourth Proportional to 419,484,096,256.73, 629,226,144,385.09 and 419,484,096,256.73

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Solution

The fourth proportional to 419,484,096,256.73, 629,226,144,385.09 and 419,484,096,256.73 is: 629,226,144,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,096,256.73 : 629,226,144,385.09 = 419,484,096,256.73 : x
  2. Step 2: Convert to fraction form
    419,484,096,256.73/629,226,144,385.09 = 419,484,096,256.73/x
  3. Step 3: Cross multiply
    419,484,096,256.73x = 629,226,144,385.09 × 419,484,096,256.73
  4. Step 4: Simplify right side
    419,484,096,256.73x = 263,950,360,518,486,160,048,128
  5. Step 5: Solve for x
    x = 263,950,360,518,486,160,048,128/419,484,096,256.73
  6. Step 6: Final answer
    x = 629,226,144,385.09

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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.