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Finding the Fourth Proportional to 12,682,783,648,009, 19,024,175,472,016 and 12,682,783,648,009

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Solution

The fourth proportional to 12,682,783,648,009, 19,024,175,472,016 and 12,682,783,648,009 is: 19,024,175,472,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,783,648,009 : 19,024,175,472,016 = 12,682,783,648,009 : x
  2. Step 2: Convert to fraction form
    12,682,783,648,009/19,024,175,472,016 = 12,682,783,648,009/x
  3. Step 3: Cross multiply
    12,682,783,648,009x = 19,024,175,472,016 × 12,682,783,648,009
  4. Step 4: Simplify right side
    12,682,783,648,009x = 241,279,501,593,338,424,231,723,008
  5. Step 5: Solve for x
    x = 241,279,501,593,338,424,231,723,008/12,682,783,648,009
  6. Step 6: Final answer
    x = 19,024,175,472,016

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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.