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Finding the Fourth Proportional to 182,868,192,728.90, 274,302,289,093.35 and 182,868,192,728.90

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Solution

The fourth proportional to 182,868,192,728.90, 274,302,289,093.35 and 182,868,192,728.90 is: 274,302,289,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868,192,728.90 : 274,302,289,093.35 = 182,868,192,728.90 : x
  2. Step 2: Convert to fraction form
    182,868,192,728.90/274,302,289,093.35 = 182,868,192,728.90/x
  3. Step 3: Cross multiply
    182,868,192,728.90x = 274,302,289,093.35 × 182,868,192,728.90
  4. Step 4: Simplify right side
    182,868,192,728.90x = 50,161,163,867,901,170,548,736
  5. Step 5: Solve for x
    x = 50,161,163,867,901,170,548,736/182,868,192,728.90
  6. Step 6: Final answer
    x = 274,302,289,093.35

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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.