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Finding the Fourth Proportional to 260,760,492,064.72, 391,140,738,097.10 and 260,760,492,064.72

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Solution

The fourth proportional to 260,760,492,064.72, 391,140,738,097.10 and 260,760,492,064.72 is: 391,140,738,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,492,064.72 : 391,140,738,097.10 = 260,760,492,064.72 : x
  2. Step 2: Convert to fraction form
    260,760,492,064.72/391,140,738,097.10 = 260,760,492,064.72/x
  3. Step 3: Cross multiply
    260,760,492,064.72x = 391,140,738,097.10 × 260,760,492,064.72
  4. Step 4: Simplify right side
    260,760,492,064.72x = 101,994,051,332,757,558,132,736
  5. Step 5: Solve for x
    x = 101,994,051,332,757,558,132,736/260,760,492,064.72
  6. Step 6: Final answer
    x = 391,140,738,097.10

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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.