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Finding the Fourth Proportional to 490,374,416,091.90, 735,561,624,137.85 and 490,374,416,091.90

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Solution

The fourth proportional to 490,374,416,091.90, 735,561,624,137.85 and 490,374,416,091.90 is: 735,561,624,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,374,416,091.90 : 735,561,624,137.85 = 490,374,416,091.90 : x
  2. Step 2: Convert to fraction form
    490,374,416,091.90/735,561,624,137.85 = 490,374,416,091.90/x
  3. Step 3: Cross multiply
    490,374,416,091.90x = 735,561,624,137.85 × 490,374,416,091.90
  4. Step 4: Simplify right side
    490,374,416,091.90x = 360,700,601,936,207,836,872,704
  5. Step 5: Solve for x
    x = 360,700,601,936,207,836,872,704/490,374,416,091.90
  6. Step 6: Final answer
    x = 735,561,624,137.85

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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.