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Finding the Fourth Proportional to 71,085,005.80, 106,468,076.40 and 71,085,005.80

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Solution

The fourth proportional to 71,085,005.80, 106,468,076.40 and 71,085,005.80 is: 106,468,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085,005.80 : 106,468,076.40 = 71,085,005.80 : x
  2. Step 2: Convert to fraction form
    71,085,005.80/106,468,076.40 = 71,085,005.80/x
  3. Step 3: Cross multiply
    71,085,005.80x = 106,468,076.40 × 71,085,005.80
  4. Step 4: Simplify right side
    71,085,005.80x = 7,568,283,828,408,843
  5. Step 5: Solve for x
    x = 7,568,283,828,408,843/71,085,005.80
  6. Step 6: Final answer
    x = 106,468,076.40

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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.