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Finding the Fourth Proportional to 11,125,776,384,011, 16,688,664,576,016 and 11,125,776,384,011

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Solution

The fourth proportional to 11,125,776,384,011, 16,688,664,576,016 and 11,125,776,384,011 is: 16,688,664,576,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125,776,384,011 : 16,688,664,576,016 = 11,125,776,384,011 : x
  2. Step 2: Convert to fraction form
    11,125,776,384,011/16,688,664,576,016 = 11,125,776,384,011/x
  3. Step 3: Cross multiply
    11,125,776,384,011x = 16,688,664,576,016 × 11,125,776,384,011
  4. Step 4: Simplify right side
    11,125,776,384,011x = 185,674,350,220,519,751,448,264,704
  5. Step 5: Solve for x
    x = 185,674,350,220,519,751,448,264,704/11,125,776,384,011
  6. Step 6: Final answer
    x = 16,688,664,576,016

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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.