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Finding the Fourth Proportional to 298,280,818.69, 411,640,287.70 and 166,121,794.02

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Solution

The fourth proportional to 298,280,818.69, 411,640,287.70 and 166,121,794.02 is: 229,255,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,280,818.69 : 411,640,287.70 = 166,121,794.02 : x
  2. Step 2: Convert to fraction form
    298,280,818.69/411,640,287.70 = 166,121,794.02/x
  3. Step 3: Cross multiply
    298,280,818.69x = 411,640,287.70 × 166,121,794.02
  4. Step 4: Simplify right side
    298,280,818.69x = 68,382,423,083,682,656
  5. Step 5: Solve for x
    x = 68,382,423,083,682,656/298,280,818.69
  6. Step 6: Final answer
    x = 229,255,181.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.