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Finding the Fourth Proportional to 82,987,100.70, 116,352,002.10 and 82,987,100.70

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Solution

The fourth proportional to 82,987,100.70, 116,352,002.10 and 82,987,100.70 is: 116,352,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,100.70 : 116,352,002.10 = 82,987,100.70 : x
  2. Step 2: Convert to fraction form
    82,987,100.70/116,352,002.10 = 82,987,100.70/x
  3. Step 3: Cross multiply
    82,987,100.70x = 116,352,002.10 × 82,987,100.70
  4. Step 4: Simplify right side
    82,987,100.70x = 9,655,715,314,919,312
  5. Step 5: Solve for x
    x = 9,655,715,314,919,312/82,987,100.70
  6. Step 6: Final answer
    x = 116,352,002.10

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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.