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Finding the Fourth Proportional to 106,768,383.90, 160,152,575.85 and 106,768,383.90

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Solution

The fourth proportional to 106,768,383.90, 160,152,575.85 and 106,768,383.90 is: 160,152,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,768,383.90 : 160,152,575.85 = 106,768,383.90 : x
  2. Step 2: Convert to fraction form
    106,768,383.90/160,152,575.85 = 106,768,383.90/x
  3. Step 3: Cross multiply
    106,768,383.90x = 160,152,575.85 × 106,768,383.90
  4. Step 4: Simplify right side
    106,768,383.90x = 17,099,231,700,926,670
  5. Step 5: Solve for x
    x = 17,099,231,700,926,670/106,768,383.90
  6. Step 6: Final answer
    x = 160,152,575.85

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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.