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Finding the Fourth Proportional to 392,307,706.16, 541,378,020.36 and 216,112,183.28

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Solution

The fourth proportional to 392,307,706.16, 541,378,020.36 and 216,112,183.28 is: 298,231,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,307,706.16 : 541,378,020.36 = 216,112,183.28 : x
  2. Step 2: Convert to fraction form
    392,307,706.16/541,378,020.36 = 216,112,183.28/x
  3. Step 3: Cross multiply
    392,307,706.16x = 541,378,020.36 × 216,112,183.28
  4. Step 4: Simplify right side
    392,307,706.16x = 116,998,385,959,803,888
  5. Step 5: Solve for x
    x = 116,998,385,959,803,888/392,307,706.16
  6. Step 6: Final answer
    x = 298,231,169.37

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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.