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Finding the Fourth Proportional to 282,297,809.40, 422,879,843.70 and 160,987,543.80

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Solution

The fourth proportional to 282,297,809.40, 422,879,843.70 and 160,987,543.80 is: 241,158,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,297,809.40 : 422,879,843.70 = 160,987,543.80 : x
  2. Step 2: Convert to fraction form
    282,297,809.40/422,879,843.70 = 160,987,543.80/x
  3. Step 3: Cross multiply
    282,297,809.40x = 422,879,843.70 × 160,987,543.80
  4. Step 4: Simplify right side
    282,297,809.40x = 68,078,387,359,790,904
  5. Step 5: Solve for x
    x = 68,078,387,359,790,904/282,297,809.40
  6. Step 6: Final answer
    x = 241,158,043.36

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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.