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Finding the Fourth Proportional to 858,646,071.90, 1,287,969,107.85 and 858,646,071.90

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Solution

The fourth proportional to 858,646,071.90, 1,287,969,107.85 and 858,646,071.90 is: 1,287,969,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,646,071.90 : 1,287,969,107.85 = 858,646,071.90 : x
  2. Step 2: Convert to fraction form
    858,646,071.90/1,287,969,107.85 = 858,646,071.90/x
  3. Step 3: Cross multiply
    858,646,071.90x = 1,287,969,107.85 × 858,646,071.90
  4. Step 4: Simplify right side
    858,646,071.90x = 1,105,909,615,183,949,824
  5. Step 5: Solve for x
    x = 1,105,909,615,183,949,824/858,646,071.90
  6. Step 6: Final answer
    x = 1,287,969,107.85

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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.