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Finding the Fourth Proportional to 1,904,182,011, 2,854,969,061.52 and 969,695,959.80

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Solution

The fourth proportional to 1,904,182,011, 2,854,969,061.52 and 969,695,959.80 is: 1,453,879,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,182,011 : 2,854,969,061.52 = 969,695,959.80 : x
  2. Step 2: Convert to fraction form
    1,904,182,011/2,854,969,061.52 = 969,695,959.80/x
  3. Step 3: Cross multiply
    1,904,182,011x = 2,854,969,061.52 × 969,695,959.80
  4. Step 4: Simplify right side
    1,904,182,011x = 2,768,451,964,309,941,248
  5. Step 5: Solve for x
    x = 2,768,451,964,309,941,248/1,904,182,011
  6. Step 6: Final answer
    x = 1,453,879,906.60

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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.