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Finding the Fourth Proportional to 8,142,409.80, 11,384,443.80 and 8,142,409.80

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Solution

The fourth proportional to 8,142,409.80, 11,384,443.80 and 8,142,409.80 is: 11,384,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142,409.80 : 11,384,443.80 = 8,142,409.80 : x
  2. Step 2: Convert to fraction form
    8,142,409.80/11,384,443.80 = 8,142,409.80/x
  3. Step 3: Cross multiply
    8,142,409.80x = 11,384,443.80 × 8,142,409.80
  4. Step 4: Simplify right side
    8,142,409.80x = 92,696,806,764,669.25
  5. Step 5: Solve for x
    x = 92,696,806,764,669.25/8,142,409.80
  6. Step 6: Final answer
    x = 11,384,443.80

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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.