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Finding the Fourth Proportional to 298,576,500.60, 411,843,224.28 and 198,102,763.20

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Solution

The fourth proportional to 298,576,500.60, 411,843,224.28 and 198,102,763.20 is: 273,254,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,500.60 : 411,843,224.28 = 198,102,763.20 : x
  2. Step 2: Convert to fraction form
    298,576,500.60/411,843,224.28 = 198,102,763.20/x
  3. Step 3: Cross multiply
    298,576,500.60x = 411,843,224.28 × 198,102,763.20
  4. Step 4: Simplify right side
    298,576,500.60x = 81,587,280,735,065,312
  5. Step 5: Solve for x
    x = 81,587,280,735,065,312/298,576,500.60
  6. Step 6: Final answer
    x = 273,254,193.05

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Why These Related Problems?

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