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Finding the Fourth Proportional to 13,738,752,070.70, 20,608,128,106.06 and 13,738,752,070.70

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Solution

The fourth proportional to 13,738,752,070.70, 20,608,128,106.06 and 13,738,752,070.70 is: 20,608,128,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738,752,070.70 : 20,608,128,106.06 = 13,738,752,070.70 : x
  2. Step 2: Convert to fraction form
    13,738,752,070.70/20,608,128,106.06 = 13,738,752,070.70/x
  3. Step 3: Cross multiply
    13,738,752,070.70x = 20,608,128,106.06 × 13,738,752,070.70
  4. Step 4: Simplify right side
    13,738,752,070.70x = 283,129,962,690,382,725,120
  5. Step 5: Solve for x
    x = 283,129,962,690,382,725,120/13,738,752,070.70
  6. Step 6: Final answer
    x = 20,608,128,106.06

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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.