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Finding the Fourth Proportional to 570,777,593.81, 787,659,682.64 and 335,843,470.94

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Solution

The fourth proportional to 570,777,593.81, 787,659,682.64 and 335,843,470.94 is: 463,456,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,777,593.81 : 787,659,682.64 = 335,843,470.94 : x
  2. Step 2: Convert to fraction form
    570,777,593.81/787,659,682.64 = 335,843,470.94/x
  3. Step 3: Cross multiply
    570,777,593.81x = 787,659,682.64 × 335,843,470.94
  4. Step 4: Simplify right side
    570,777,593.81x = 264,530,361,731,698,944
  5. Step 5: Solve for x
    x = 264,530,361,731,698,944/570,777,593.81
  6. Step 6: Final answer
    x = 463,456,107.25

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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.