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Finding the Fourth Proportional to 106,768,911.90, 160,153,367.85 and 106,768,911.90

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Solution

The fourth proportional to 106,768,911.90, 160,153,367.85 and 106,768,911.90 is: 160,153,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,768,911.90 : 160,153,367.85 = 106,768,911.90 : x
  2. Step 2: Convert to fraction form
    106,768,911.90/160,153,367.85 = 106,768,911.90/x
  3. Step 3: Cross multiply
    106,768,911.90x = 160,153,367.85 × 106,768,911.90
  4. Step 4: Simplify right side
    106,768,911.90x = 17,099,400,822,464,942
  5. Step 5: Solve for x
    x = 17,099,400,822,464,942/106,768,911.90
  6. Step 6: Final answer
    x = 160,153,367.85

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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.