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Finding the Fourth Proportional to 5,200,662.35, 7,790,495.92 and 5,200,662.35

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Solution

The fourth proportional to 5,200,662.35, 7,790,495.92 and 5,200,662.35 is: 7,790,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,662.35 : 7,790,495.92 = 5,200,662.35 : x
  2. Step 2: Convert to fraction form
    5,200,662.35/7,790,495.92 = 5,200,662.35/x
  3. Step 3: Cross multiply
    5,200,662.35x = 7,790,495.92 × 5,200,662.35
  4. Step 4: Simplify right side
    5,200,662.35x = 40,515,738,818,972.61
  5. Step 5: Solve for x
    x = 40,515,738,818,972.61/5,200,662.35
  6. Step 6: Final answer
    x = 7,790,495.92

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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.