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Finding the Fourth Proportional to 5,285,671.20, 7,414,869.60 and 5,285,671.20

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Solution

The fourth proportional to 5,285,671.20, 7,414,869.60 and 5,285,671.20 is: 7,414,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285,671.20 : 7,414,869.60 = 5,285,671.20 : x
  2. Step 2: Convert to fraction form
    5,285,671.20/7,414,869.60 = 5,285,671.20/x
  3. Step 3: Cross multiply
    5,285,671.20x = 7,414,869.60 × 5,285,671.20
  4. Step 4: Simplify right side
    5,285,671.20x = 39,192,562,696,475.52
  5. Step 5: Solve for x
    x = 39,192,562,696,475.52/5,285,671.20
  6. Step 6: Final answer
    x = 7,414,869.60

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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.