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Finding the Fourth Proportional to 11,213,447,911.90, 16,820,171,867.85 and 11,213,447,911.90

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Solution

The fourth proportional to 11,213,447,911.90, 16,820,171,867.85 and 11,213,447,911.90 is: 16,820,171,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213,447,911.90 : 16,820,171,867.85 = 11,213,447,911.90 : x
  2. Step 2: Convert to fraction form
    11,213,447,911.90/16,820,171,867.85 = 11,213,447,911.90/x
  3. Step 3: Cross multiply
    11,213,447,911.90x = 16,820,171,867.85 × 11,213,447,911.90
  4. Step 4: Simplify right side
    11,213,447,911.90x = 188,612,121,109,341,700,096
  5. Step 5: Solve for x
    x = 188,612,121,109,341,700,096/11,213,447,911.90
  6. Step 6: Final answer
    x = 16,820,171,867.85

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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.