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Finding the Fourth Proportional to 416,521,354.98, 574,787,025.12 and 228,343,214.46

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Solution

The fourth proportional to 416,521,354.98, 574,787,025.12 and 228,343,214.46 is: 315,106,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521,354.98 : 574,787,025.12 = 228,343,214.46 : x
  2. Step 2: Convert to fraction form
    416,521,354.98/574,787,025.12 = 228,343,214.46/x
  3. Step 3: Cross multiply
    416,521,354.98x = 574,787,025.12 × 228,343,214.46
  4. Step 4: Simplify right side
    416,521,354.98x = 131,248,716,945,801,568
  5. Step 5: Solve for x
    x = 131,248,716,945,801,568/416,521,354.98
  6. Step 6: Final answer
    x = 315,106,813.56

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