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Finding the Fourth Proportional to 12,020,253,370,529, 18,030,380,055,790 and 12,020,253,370,529

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Solution

The fourth proportional to 12,020,253,370,529, 18,030,380,055,790 and 12,020,253,370,529 is: 18,030,380,055,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020,253,370,529 : 18,030,380,055,790 = 12,020,253,370,529 : x
  2. Step 2: Convert to fraction form
    12,020,253,370,529/18,030,380,055,790 = 12,020,253,370,529/x
  3. Step 3: Cross multiply
    12,020,253,370,529x = 18,030,380,055,790 × 12,020,253,370,529
  4. Step 4: Simplify right side
    12,020,253,370,529x = 216,729,736,637,528,589,962,575,872
  5. Step 5: Solve for x
    x = 216,729,736,637,528,589,962,575,872/12,020,253,370,529
  6. Step 6: Final answer
    x = 18,030,380,055,790

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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.