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Finding the Fourth Proportional to 182,868,192,653.77, 274,302,288,980.67 and 182,868,192,653.77

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Solution

The fourth proportional to 182,868,192,653.77, 274,302,288,980.67 and 182,868,192,653.77 is: 274,302,288,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868,192,653.77 : 274,302,288,980.67 = 182,868,192,653.77 : x
  2. Step 2: Convert to fraction form
    182,868,192,653.77/274,302,288,980.67 = 182,868,192,653.77/x
  3. Step 3: Cross multiply
    182,868,192,653.77x = 274,302,288,980.67 × 182,868,192,653.77
  4. Step 4: Simplify right side
    182,868,192,653.77x = 50,161,163,826,687,251,578,880
  5. Step 5: Solve for x
    x = 50,161,163,826,687,251,578,880/182,868,192,653.77
  6. Step 6: Final answer
    x = 274,302,288,980.67

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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.