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Finding the Fourth Proportional to 27,188,216,308.40, 40,782,324,462.60 and 27,188,216,308.40

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Solution

The fourth proportional to 27,188,216,308.40, 40,782,324,462.60 and 27,188,216,308.40 is: 40,782,324,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188,216,308.40 : 40,782,324,462.60 = 27,188,216,308.40 : x
  2. Step 2: Convert to fraction form
    27,188,216,308.40/40,782,324,462.60 = 27,188,216,308.40/x
  3. Step 3: Cross multiply
    27,188,216,308.40x = 40,782,324,462.60 × 27,188,216,308.40
  4. Step 4: Simplify right side
    27,188,216,308.40x = 1,108,798,659,048,521,596,928
  5. Step 5: Solve for x
    x = 1,108,798,659,048,521,596,928/27,188,216,308.40
  6. Step 6: Final answer
    x = 40,782,324,462.60

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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.