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Finding the Fourth Proportional to 632,099,123.94, 872,298,657.29 and 349,861,167.78

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Solution

The fourth proportional to 632,099,123.94, 872,298,657.29 and 349,861,167.78 is: 482,809,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,099,123.94 : 872,298,657.29 = 349,861,167.78 : x
  2. Step 2: Convert to fraction form
    632,099,123.94/872,298,657.29 = 349,861,167.78/x
  3. Step 3: Cross multiply
    632,099,123.94x = 872,298,657.29 × 349,861,167.78
  4. Step 4: Simplify right side
    632,099,123.94x = 305,183,426,890,008,960
  5. Step 5: Solve for x
    x = 305,183,426,890,008,960/632,099,123.94
  6. Step 6: Final answer
    x = 482,809,444.49

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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.