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Finding the Fourth Proportional to 393,985,605.60, 590,978,408.40 and 106,771,269.60

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Solution

The fourth proportional to 393,985,605.60, 590,978,408.40 and 106,771,269.60 is: 160,156,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,985,605.60 : 590,978,408.40 = 106,771,269.60 : x
  2. Step 2: Convert to fraction form
    393,985,605.60/590,978,408.40 = 106,771,269.60/x
  3. Step 3: Cross multiply
    393,985,605.60x = 590,978,408.40 × 106,771,269.60
  4. Step 4: Simplify right side
    393,985,605.60x = 63,099,514,971,055,296
  5. Step 5: Solve for x
    x = 63,099,514,971,055,296/393,985,605.60
  6. Step 6: Final answer
    x = 160,156,904.40

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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.