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Finding the Fourth Proportional to 472,378,645.20, 708,866,566.20 and 278,289,685.20

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Solution

The fourth proportional to 472,378,645.20, 708,866,566.20 and 278,289,685.20 is: 417,610,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,378,645.20 : 708,866,566.20 = 278,289,685.20 : x
  2. Step 2: Convert to fraction form
    472,378,645.20/708,866,566.20 = 278,289,685.20/x
  3. Step 3: Cross multiply
    472,378,645.20x = 708,866,566.20 × 278,289,685.20
  4. Step 4: Simplify right side
    472,378,645.20x = 197,270,253,556,602,976
  5. Step 5: Solve for x
    x = 197,270,253,556,602,976/472,378,645.20
  6. Step 6: Final answer
    x = 417,610,439.34

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