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Finding the Fourth Proportional to 82,987,307.20, 116,352,291.20 and 82,987,307.20

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Solution

The fourth proportional to 82,987,307.20, 116,352,291.20 and 82,987,307.20 is: 116,352,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,307.20 : 116,352,291.20 = 82,987,307.20 : x
  2. Step 2: Convert to fraction form
    82,987,307.20/116,352,291.20 = 82,987,307.20/x
  3. Step 3: Cross multiply
    82,987,307.20x = 116,352,291.20 × 82,987,307.20
  4. Step 4: Simplify right side
    82,987,307.20x = 9,655,763,333,238,258
  5. Step 5: Solve for x
    x = 9,655,763,333,238,258/82,987,307.20
  6. Step 6: Final answer
    x = 116,352,291.20

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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.