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Finding the Fourth Proportional to 436,595,264,311.20, 654,892,896,466.80 and 436,595,264,311.20

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Solution

The fourth proportional to 436,595,264,311.20, 654,892,896,466.80 and 436,595,264,311.20 is: 654,892,896,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,595,264,311.20 : 654,892,896,466.80 = 436,595,264,311.20 : x
  2. Step 2: Convert to fraction form
    436,595,264,311.20/654,892,896,466.80 = 436,595,264,311.20/x
  3. Step 3: Cross multiply
    436,595,264,311.20x = 654,892,896,466.80 × 436,595,264,311.20
  4. Step 4: Simplify right side
    436,595,264,311.20x = 285,923,137,228,449,916,125,184
  5. Step 5: Solve for x
    x = 285,923,137,228,449,916,125,184/436,595,264,311.20
  6. Step 6: Final answer
    x = 654,892,896,466.80

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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.