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Finding the Fourth Proportional to 512,483,476,800.90, 768,725,215,201.35 and 512,483,476,800.90

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Solution

The fourth proportional to 512,483,476,800.90, 768,725,215,201.35 and 512,483,476,800.90 is: 768,725,215,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,483,476,800.90 : 768,725,215,201.35 = 512,483,476,800.90 : x
  2. Step 2: Convert to fraction form
    512,483,476,800.90/768,725,215,201.35 = 512,483,476,800.90/x
  3. Step 3: Cross multiply
    512,483,476,800.90x = 768,725,215,201.35 × 512,483,476,800.90
  4. Step 4: Simplify right side
    512,483,476,800.90x = 393,958,970,990,907,944,337,408
  5. Step 5: Solve for x
    x = 393,958,970,990,907,944,337,408/512,483,476,800.90
  6. Step 6: Final answer
    x = 768,725,215,201.35

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Similar ratio
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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.