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Finding the Fourth Proportional to 245,187,208,049.45, 367,780,812,074.17 and 245,187,208,049.45

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Solution

The fourth proportional to 245,187,208,049.45, 367,780,812,074.17 and 245,187,208,049.45 is: 367,780,812,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187,208,049.45 : 367,780,812,074.17 = 245,187,208,049.45 : x
  2. Step 2: Convert to fraction form
    245,187,208,049.45/367,780,812,074.17 = 245,187,208,049.45/x
  3. Step 3: Cross multiply
    245,187,208,049.45x = 367,780,812,074.17 × 245,187,208,049.45
  4. Step 4: Simplify right side
    245,187,208,049.45x = 90,175,150,486,625,198,276,608
  5. Step 5: Solve for x
    x = 90,175,150,486,625,198,276,608/245,187,208,049.45
  6. Step 6: Final answer
    x = 367,780,812,074.17

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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.