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Finding the Fourth Proportional to 245,187,208,049.46, 367,780,812,074.16 and 245,187,208,049.46

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Solution

The fourth proportional to 245,187,208,049.46, 367,780,812,074.16 and 245,187,208,049.46 is: 367,780,812,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187,208,049.46 : 367,780,812,074.16 = 245,187,208,049.46 : x
  2. Step 2: Convert to fraction form
    245,187,208,049.46/367,780,812,074.16 = 245,187,208,049.46/x
  3. Step 3: Cross multiply
    245,187,208,049.46x = 367,780,812,074.16 × 245,187,208,049.46
  4. Step 4: Simplify right side
    245,187,208,049.46x = 90,175,150,486,626,406,236,160
  5. Step 5: Solve for x
    x = 90,175,150,486,626,406,236,160/245,187,208,049.46
  6. Step 6: Final answer
    x = 367,780,812,074.16

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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.