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Finding the Fourth Proportional to 81,685,806.40, 114,647,107.10 and 81,685,806.40

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Solution

The fourth proportional to 81,685,806.40, 114,647,107.10 and 81,685,806.40 is: 114,647,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,685,806.40 : 114,647,107.10 = 81,685,806.40 : x
  2. Step 2: Convert to fraction form
    81,685,806.40/114,647,107.10 = 81,685,806.40/x
  3. Step 3: Cross multiply
    81,685,806.40x = 114,647,107.10 × 81,685,806.40
  4. Step 4: Simplify right side
    81,685,806.40x = 9,365,041,394,890,666
  5. Step 5: Solve for x
    x = 9,365,041,394,890,666/81,685,806.40
  6. Step 6: Final answer
    x = 114,647,107.10

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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.