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Finding the Fourth Proportional to 549,067,891.87, 823,601,142.28 and 140,124,051.55

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Solution

The fourth proportional to 549,067,891.87, 823,601,142.28 and 140,124,051.55 is: 210,185,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,067,891.87 : 823,601,142.28 = 140,124,051.55 : x
  2. Step 2: Convert to fraction form
    549,067,891.87/823,601,142.28 = 140,124,051.55/x
  3. Step 3: Cross multiply
    549,067,891.87x = 823,601,142.28 × 140,124,051.55
  4. Step 4: Simplify right side
    549,067,891.87x = 115,406,328,913,363,584
  5. Step 5: Solve for x
    x = 115,406,328,913,363,584/549,067,891.87
  6. Step 6: Final answer
    x = 210,185,899.82

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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.