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Finding the Fourth Proportional to 858,646,077.65, 1,287,969,116.48 and 858,646,077.65

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Solution

The fourth proportional to 858,646,077.65, 1,287,969,116.48 and 858,646,077.65 is: 1,287,969,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,646,077.65 : 1,287,969,116.48 = 858,646,077.65 : x
  2. Step 2: Convert to fraction form
    858,646,077.65/1,287,969,116.48 = 858,646,077.65/x
  3. Step 3: Cross multiply
    858,646,077.65x = 1,287,969,116.48 × 858,646,077.65
  4. Step 4: Simplify right side
    858,646,077.65x = 1,105,909,629,999,888,000
  5. Step 5: Solve for x
    x = 1,105,909,629,999,888,000/858,646,077.65
  6. Step 6: Final answer
    x = 1,287,969,116.48

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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.