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Finding the Fourth Proportional to 260,760,492,023.85, 391,140,738,035.78 and 260,760,492,023.85

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Solution

The fourth proportional to 260,760,492,023.85, 391,140,738,035.78 and 260,760,492,023.85 is: 391,140,738,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,492,023.85 : 391,140,738,035.78 = 260,760,492,023.85 : x
  2. Step 2: Convert to fraction form
    260,760,492,023.85/391,140,738,035.78 = 260,760,492,023.85/x
  3. Step 3: Cross multiply
    260,760,492,023.85x = 391,140,738,035.78 × 260,760,492,023.85
  4. Step 4: Simplify right side
    260,760,492,023.85x = 101,994,051,300,781,828,603,904
  5. Step 5: Solve for x
    x = 101,994,051,300,781,828,603,904/260,760,492,023.85
  6. Step 6: Final answer
    x = 391,140,738,035.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.