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Finding the Fourth Proportional to 20,049,969,852,013, 30,074,954,778,023 and 20,049,969,852,013

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Solution

The fourth proportional to 20,049,969,852,013, 30,074,954,778,023 and 20,049,969,852,013 is: 30,074,954,778,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049,969,852,013 : 30,074,954,778,023 = 20,049,969,852,013 : x
  2. Step 2: Convert to fraction form
    20,049,969,852,013/30,074,954,778,023 = 20,049,969,852,013/x
  3. Step 3: Cross multiply
    20,049,969,852,013x = 30,074,954,778,023 × 20,049,969,852,013
  4. Step 4: Simplify right side
    20,049,969,852,013x = 603,001,936,600,015,469,121,896,448
  5. Step 5: Solve for x
    x = 603,001,936,600,015,469,121,896,448/20,049,969,852,013
  6. Step 6: Final answer
    x = 30,074,954,778,023

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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.