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Finding the Fourth Proportional to 617,463,234.60, 926,194,851.90 and 311,353,218.60

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Solution

The fourth proportional to 617,463,234.60, 926,194,851.90 and 311,353,218.60 is: 467,029,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,463,234.60 : 926,194,851.90 = 311,353,218.60 : x
  2. Step 2: Convert to fraction form
    617,463,234.60/926,194,851.90 = 311,353,218.60/x
  3. Step 3: Cross multiply
    617,463,234.60x = 926,194,851.90 × 311,353,218.60
  4. Step 4: Simplify right side
    617,463,234.60x = 288,373,748,189,815,360
  5. Step 5: Solve for x
    x = 288,373,748,189,815,360/617,463,234.60
  6. Step 6: Final answer
    x = 467,029,827.90

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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.