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Finding the Fourth Proportional to 82,978,772.70, 116,340,342.90 and 82,978,772.70

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Solution

The fourth proportional to 82,978,772.70, 116,340,342.90 and 82,978,772.70 is: 116,340,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,978,772.70 : 116,340,342.90 = 82,978,772.70 : x
  2. Step 2: Convert to fraction form
    82,978,772.70/116,340,342.90 = 82,978,772.70/x
  3. Step 3: Cross multiply
    82,978,772.70x = 116,340,342.90 × 82,978,772.70
  4. Step 4: Simplify right side
    82,978,772.70x = 9,653,778,869,339,160
  5. Step 5: Solve for x
    x = 9,653,778,869,339,160/82,978,772.70
  6. Step 6: Final answer
    x = 116,340,342.90

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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.