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Finding the Fourth Proportional to 456,192,408.60, 684,288,612.90 and 456,192,408.60

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Solution

The fourth proportional to 456,192,408.60, 684,288,612.90 and 456,192,408.60 is: 684,288,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,192,408.60 : 684,288,612.90 = 456,192,408.60 : x
  2. Step 2: Convert to fraction form
    456,192,408.60/684,288,612.90 = 456,192,408.60/x
  3. Step 3: Cross multiply
    456,192,408.60x = 684,288,612.90 × 456,192,408.60
  4. Step 4: Simplify right side
    456,192,408.60x = 312,167,270,496,404,032
  5. Step 5: Solve for x
    x = 312,167,270,496,404,032/456,192,408.60
  6. Step 6: Final answer
    x = 684,288,612.90

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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.