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Finding the Fourth Proportional to 82,969,626.65, 115,888,738.75 and 82,969,626.65

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Solution

The fourth proportional to 82,969,626.65, 115,888,738.75 and 82,969,626.65 is: 115,888,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969,626.65 : 115,888,738.75 = 82,969,626.65 : x
  2. Step 2: Convert to fraction form
    82,969,626.65/115,888,738.75 = 82,969,626.65/x
  3. Step 3: Cross multiply
    82,969,626.65x = 115,888,738.75 × 82,969,626.65
  4. Step 4: Simplify right side
    82,969,626.65x = 9,615,245,387,026,888
  5. Step 5: Solve for x
    x = 9,615,245,387,026,888/82,969,626.65
  6. Step 6: Final answer
    x = 115,888,738.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.