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Finding the Fourth Proportional to 568,678,558.60, 853,017,837.90 and 471,743,720.20

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Solution

The fourth proportional to 568,678,558.60, 853,017,837.90 and 471,743,720.20 is: 707,615,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,678,558.60 : 853,017,837.90 = 471,743,720.20 : x
  2. Step 2: Convert to fraction form
    568,678,558.60/853,017,837.90 = 471,743,720.20/x
  3. Step 3: Cross multiply
    568,678,558.60x = 853,017,837.90 × 471,743,720.20
  4. Step 4: Simplify right side
    568,678,558.60x = 402,405,808,247,906,560
  5. Step 5: Solve for x
    x = 402,405,808,247,906,560/568,678,558.60
  6. Step 6: Final answer
    x = 707,615,580.30

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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.