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Finding the Fourth Proportional to 490,374,416,132.90, 735,561,624,199.30 and 490,374,416,132.90

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Solution

The fourth proportional to 490,374,416,132.90, 735,561,624,199.30 and 490,374,416,132.90 is: 735,561,624,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,374,416,132.90 : 735,561,624,199.30 = 490,374,416,132.90 : x
  2. Step 2: Convert to fraction form
    490,374,416,132.90/735,561,624,199.30 = 490,374,416,132.90/x
  3. Step 3: Cross multiply
    490,374,416,132.90x = 735,561,624,199.30 × 490,374,416,132.90
  4. Step 4: Simplify right side
    490,374,416,132.90x = 360,700,601,996,499,379,814,400
  5. Step 5: Solve for x
    x = 360,700,601,996,499,379,814,400/490,374,416,132.90
  6. Step 6: Final answer
    x = 735,561,624,199.30

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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.