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Finding the Fourth Proportional to 66,843,504,629.20, 100,265,256,943.80 and 66,843,504,629.20

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Solution

The fourth proportional to 66,843,504,629.20, 100,265,256,943.80 and 66,843,504,629.20 is: 100,265,256,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843,504,629.20 : 100,265,256,943.80 = 66,843,504,629.20 : x
  2. Step 2: Convert to fraction form
    66,843,504,629.20/100,265,256,943.80 = 66,843,504,629.20/x
  3. Step 3: Cross multiply
    66,843,504,629.20x = 100,265,256,943.80 × 66,843,504,629.20
  4. Step 4: Simplify right side
    66,843,504,629.20x = 6,702,081,166,670,822,375,424
  5. Step 5: Solve for x
    x = 6,702,081,166,670,822,375,424/66,843,504,629.20
  6. Step 6: Final answer
    x = 100,265,256,943.80

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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.