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Finding the Fourth Proportional to 11,729,118,029,159, 17,593,677,043,738 and 11,729,118,029,159

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Solution

The fourth proportional to 11,729,118,029,159, 17,593,677,043,738 and 11,729,118,029,159 is: 17,593,677,043,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729,118,029,159 : 17,593,677,043,738 = 11,729,118,029,159 : x
  2. Step 2: Convert to fraction form
    11,729,118,029,159/17,593,677,043,738 = 11,729,118,029,159/x
  3. Step 3: Cross multiply
    11,729,118,029,159x = 17,593,677,043,738 × 11,729,118,029,159
  4. Step 4: Simplify right side
    11,729,118,029,159x = 206,358,314,612,908,187,528,986,624
  5. Step 5: Solve for x
    x = 206,358,314,612,908,187,528,986,624/11,729,118,029,159
  6. Step 6: Final answer
    x = 17,593,677,043,738

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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.