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Finding the Fourth Proportional to 27,745,386.70, 38,907,314.30 and 27,745,386.70

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Solution

The fourth proportional to 27,745,386.70, 38,907,314.30 and 27,745,386.70 is: 38,907,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745,386.70 : 38,907,314.30 = 27,745,386.70 : x
  2. Step 2: Convert to fraction form
    27,745,386.70/38,907,314.30 = 27,745,386.70/x
  3. Step 3: Cross multiply
    27,745,386.70x = 38,907,314.30 × 27,745,386.70
  4. Step 4: Simplify right side
    27,745,386.70x = 1,079,498,480,711,939.75
  5. Step 5: Solve for x
    x = 1,079,498,480,711,939.75/27,745,386.70
  6. Step 6: Final answer
    x = 38,907,314.30

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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.