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Finding the Fourth Proportional to 13,738,752,078.20, 20,608,128,117.30 and 13,738,752,078.20

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Solution

The fourth proportional to 13,738,752,078.20, 20,608,128,117.30 and 13,738,752,078.20 is: 20,608,128,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738,752,078.20 : 20,608,128,117.30 = 13,738,752,078.20 : x
  2. Step 2: Convert to fraction form
    13,738,752,078.20/20,608,128,117.30 = 13,738,752,078.20/x
  3. Step 3: Cross multiply
    13,738,752,078.20x = 20,608,128,117.30 × 13,738,752,078.20
  4. Step 4: Simplify right side
    13,738,752,078.20x = 283,129,962,999,367,237,632
  5. Step 5: Solve for x
    x = 283,129,962,999,367,237,632/13,738,752,078.20
  6. Step 6: Final answer
    x = 20,608,128,117.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.