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Finding the Fourth Proportional to 864,739,406.92, 1,296,564,168.30 and 733,627,493.32

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Solution

The fourth proportional to 864,739,406.92, 1,296,564,168.30 and 733,627,493.32 is: 1,099,978,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,739,406.92 : 1,296,564,168.30 = 733,627,493.32 : x
  2. Step 2: Convert to fraction form
    864,739,406.92/1,296,564,168.30 = 733,627,493.32/x
  3. Step 3: Cross multiply
    864,739,406.92x = 1,296,564,168.30 × 733,627,493.32
  4. Step 4: Simplify right side
    864,739,406.92x = 951,195,120,718,459,648
  5. Step 5: Solve for x
    x = 951,195,120,718,459,648/864,739,406.92
  6. Step 6: Final answer
    x = 1,099,978,922.10

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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.