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Finding the Fourth Proportional to 578,462,958.67, 798,394,748.48 and 343,644,068.83

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Solution

The fourth proportional to 578,462,958.67, 798,394,748.48 and 343,644,068.83 is: 474,297,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,462,958.67 : 798,394,748.48 = 343,644,068.83 : x
  2. Step 2: Convert to fraction form
    578,462,958.67/798,394,748.48 = 343,644,068.83/x
  3. Step 3: Cross multiply
    578,462,958.67x = 798,394,748.48 × 343,644,068.83
  4. Step 4: Simplify right side
    578,462,958.67x = 274,363,619,900,171,648
  5. Step 5: Solve for x
    x = 274,363,619,900,171,648/578,462,958.67
  6. Step 6: Final answer
    x = 474,297,646.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.