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Finding the Fourth Proportional to 245,187,207,969.70, 367,780,811,954.55 and 245,187,207,969.70

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Solution

The fourth proportional to 245,187,207,969.70, 367,780,811,954.55 and 245,187,207,969.70 is: 367,780,811,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187,207,969.70 : 367,780,811,954.55 = 245,187,207,969.70 : x
  2. Step 2: Convert to fraction form
    245,187,207,969.70/367,780,811,954.55 = 245,187,207,969.70/x
  3. Step 3: Cross multiply
    245,187,207,969.70x = 367,780,811,954.55 × 245,187,207,969.70
  4. Step 4: Simplify right side
    245,187,207,969.70x = 90,175,150,427,965,373,808,640
  5. Step 5: Solve for x
    x = 90,175,150,427,965,373,808,640/245,187,207,969.70
  6. Step 6: Final answer
    x = 367,780,811,954.55

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1.5x scale

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.