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Finding the Fourth Proportional to 5,200,663.35, 7,790,497.42 and 5,200,663.35

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Solution

The fourth proportional to 5,200,663.35, 7,790,497.42 and 5,200,663.35 is: 7,790,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,663.35 : 7,790,497.42 = 5,200,663.35 : x
  2. Step 2: Convert to fraction form
    5,200,663.35/7,790,497.42 = 5,200,663.35/x
  3. Step 3: Cross multiply
    5,200,663.35x = 7,790,497.42 × 5,200,663.35
  4. Step 4: Simplify right side
    5,200,663.35x = 40,515,754,410,463.55
  5. Step 5: Solve for x
    x = 40,515,754,410,463.55/5,200,663.35
  6. Step 6: Final answer
    x = 7,790,497.42

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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.