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Finding the Fourth Proportional to 2,317,647.20, 3,476,470.80 and 2,317,647.20

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Solution

The fourth proportional to 2,317,647.20, 3,476,470.80 and 2,317,647.20 is: 3,476,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,647.20 : 3,476,470.80 = 2,317,647.20 : x
  2. Step 2: Convert to fraction form
    2,317,647.20/3,476,470.80 = 2,317,647.20/x
  3. Step 3: Cross multiply
    2,317,647.20x = 3,476,470.80 × 2,317,647.20
  4. Step 4: Simplify right side
    2,317,647.20x = 8,057,232,815,501.76
  5. Step 5: Solve for x
    x = 8,057,232,815,501.76/2,317,647.20
  6. Step 6: Final answer
    x = 3,476,470.80

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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.