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Finding the Fourth Proportional to 16,189,632,228.40, 24,284,448,342.64 and 16,189,632,228.40

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Solution

The fourth proportional to 16,189,632,228.40, 24,284,448,342.64 and 16,189,632,228.40 is: 24,284,448,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189,632,228.40 : 24,284,448,342.64 = 16,189,632,228.40 : x
  2. Step 2: Convert to fraction form
    16,189,632,228.40/24,284,448,342.64 = 16,189,632,228.40/x
  3. Step 3: Cross multiply
    16,189,632,228.40x = 24,284,448,342.64 × 16,189,632,228.40
  4. Step 4: Simplify right side
    16,189,632,228.40x = 393,156,287,536,919,478,272
  5. Step 5: Solve for x
    x = 393,156,287,536,919,478,272/16,189,632,228.40
  6. Step 6: Final answer
    x = 24,284,448,342.64

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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.