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Finding the Fourth Proportional to 111,408,643,135.20, 167,112,964,702.80 and 111,408,643,135.20

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Solution

The fourth proportional to 111,408,643,135.20, 167,112,964,702.80 and 111,408,643,135.20 is: 167,112,964,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408,643,135.20 : 167,112,964,702.80 = 111,408,643,135.20 : x
  2. Step 2: Convert to fraction form
    111,408,643,135.20/167,112,964,702.80 = 111,408,643,135.20/x
  3. Step 3: Cross multiply
    111,408,643,135.20x = 167,112,964,702.80 × 111,408,643,135.20
  4. Step 4: Simplify right side
    111,408,643,135.20x = 18,617,828,647,839,517,900,800
  5. Step 5: Solve for x
    x = 18,617,828,647,839,517,900,800/111,408,643,135.20
  6. Step 6: Final answer
    x = 167,112,964,702.80

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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.