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Finding the Fourth Proportional to 392,393,898.54, 541,528,039.38 and 216,181,857.42

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Solution

The fourth proportional to 392,393,898.54, 541,528,039.38 and 216,181,857.42 is: 298,344,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,393,898.54 : 541,528,039.38 = 216,181,857.42 : x
  2. Step 2: Convert to fraction form
    392,393,898.54/541,528,039.38 = 216,181,857.42/x
  3. Step 3: Cross multiply
    392,393,898.54x = 541,528,039.38 × 216,181,857.42
  4. Step 4: Simplify right side
    392,393,898.54x = 117,068,537,398,179,296
  5. Step 5: Solve for x
    x = 117,068,537,398,179,296/392,393,898.54
  6. Step 6: Final answer
    x = 298,344,438.67

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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.