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Finding the Fourth Proportional to 7,843,764,987.10, 11,765,647,480.65 and 7,843,764,987.10

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Solution

The fourth proportional to 7,843,764,987.10, 11,765,647,480.65 and 7,843,764,987.10 is: 11,765,647,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,764,987.10 : 11,765,647,480.65 = 7,843,764,987.10 : x
  2. Step 2: Convert to fraction form
    7,843,764,987.10/11,765,647,480.65 = 7,843,764,987.10/x
  3. Step 3: Cross multiply
    7,843,764,987.10x = 11,765,647,480.65 × 7,843,764,987.10
  4. Step 4: Simplify right side
    7,843,764,987.10x = 92,286,973,759,283,789,824
  5. Step 5: Solve for x
    x = 92,286,973,759,283,789,824/7,843,764,987.10
  6. Step 6: Final answer
    x = 11,765,647,480.65

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Double scale
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1.5x scale

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.