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Finding the Fourth Proportional to 260,760,492,049.60, 391,140,738,074.40 and 260,760,492,049.60

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Solution

The fourth proportional to 260,760,492,049.60, 391,140,738,074.40 and 260,760,492,049.60 is: 391,140,738,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,492,049.60 : 391,140,738,074.40 = 260,760,492,049.60 : x
  2. Step 2: Convert to fraction form
    260,760,492,049.60/391,140,738,074.40 = 260,760,492,049.60/x
  3. Step 3: Cross multiply
    260,760,492,049.60x = 391,140,738,074.40 × 260,760,492,049.60
  4. Step 4: Simplify right side
    260,760,492,049.60x = 101,994,051,320,924,268,920,832
  5. Step 5: Solve for x
    x = 101,994,051,320,924,268,920,832/260,760,492,049.60
  6. Step 6: Final answer
    x = 391,140,738,074.40

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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.