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Finding the Fourth Proportional to 27,150,736,153.78, 40,726,104,230.67 and 27,150,736,153.78

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Solution

The fourth proportional to 27,150,736,153.78, 40,726,104,230.67 and 27,150,736,153.78 is: 40,726,104,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150,736,153.78 : 40,726,104,230.67 = 27,150,736,153.78 : x
  2. Step 2: Convert to fraction form
    27,150,736,153.78/40,726,104,230.67 = 27,150,736,153.78/x
  3. Step 3: Cross multiply
    27,150,736,153.78x = 40,726,104,230.67 × 27,150,736,153.78
  4. Step 4: Simplify right side
    27,150,736,153.78x = 1,105,743,710,537,925,263,360
  5. Step 5: Solve for x
    x = 1,105,743,710,537,925,263,360/27,150,736,153.78
  6. Step 6: Final answer
    x = 40,726,104,230.67

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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.