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Finding the Fourth Proportional to 273,046,932.48, 409,861,860.48 and 117,677,415.78

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Solution

The fourth proportional to 273,046,932.48, 409,861,860.48 and 117,677,415.78 is: 176,641,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,046,932.48 : 409,861,860.48 = 117,677,415.78 : x
  2. Step 2: Convert to fraction form
    273,046,932.48/409,861,860.48 = 117,677,415.78/x
  3. Step 3: Cross multiply
    273,046,932.48x = 409,861,860.48 × 117,677,415.78
  4. Step 4: Simplify right side
    273,046,932.48x = 48,231,484,568,069,312
  5. Step 5: Solve for x
    x = 48,231,484,568,069,312/273,046,932.48
  6. Step 6: Final answer
    x = 176,641,737.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.