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Finding the Fourth Proportional to 408,226,969,969.30, 612,340,454,953.95 and 408,226,969,969.30

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Solution

The fourth proportional to 408,226,969,969.30, 612,340,454,953.95 and 408,226,969,969.30 is: 612,340,454,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,226,969,969.30 : 612,340,454,953.95 = 408,226,969,969.30 : x
  2. Step 2: Convert to fraction form
    408,226,969,969.30/612,340,454,953.95 = 408,226,969,969.30/x
  3. Step 3: Cross multiply
    408,226,969,969.30x = 612,340,454,953.95 × 408,226,969,969.30
  4. Step 4: Simplify right side
    408,226,969,969.30x = 249,973,888,515,473,632,395,264
  5. Step 5: Solve for x
    x = 249,973,888,515,473,632,395,264/408,226,969,969.30
  6. Step 6: Final answer
    x = 612,340,454,953.95

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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.