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Finding the Fourth Proportional to 5,464,200.15, 7,661,077.65 and 5,464,200.15

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Solution

The fourth proportional to 5,464,200.15, 7,661,077.65 and 5,464,200.15 is: 7,661,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,200.15 : 7,661,077.65 = 5,464,200.15 : x
  2. Step 2: Convert to fraction form
    5,464,200.15/7,661,077.65 = 5,464,200.15/x
  3. Step 3: Cross multiply
    5,464,200.15x = 7,661,077.65 × 5,464,200.15
  4. Step 4: Simplify right side
    5,464,200.15x = 41,861,661,644,291.66
  5. Step 5: Solve for x
    x = 41,861,661,644,291.66/5,464,200.15
  6. Step 6: Final answer
    x = 7,661,077.65

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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.