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Finding the Fourth Proportional to 578,462,952.42, 798,394,739.85 and 343,644,062.58

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Solution

The fourth proportional to 578,462,952.42, 798,394,739.85 and 343,644,062.58 is: 474,297,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,462,952.42 : 798,394,739.85 = 343,644,062.58 : x
  2. Step 2: Convert to fraction form
    578,462,952.42/798,394,739.85 = 343,644,062.58/x
  3. Step 3: Cross multiply
    578,462,952.42x = 798,394,739.85 × 343,644,062.58
  4. Step 4: Simplify right side
    578,462,952.42x = 274,363,611,944,556,224
  5. Step 5: Solve for x
    x = 274,363,611,944,556,224/578,462,952.42
  6. Step 6: Final answer
    x = 474,297,637.90

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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.