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Finding the Fourth Proportional to 199,315,029.20, 298,972,543.80 and 199,315,029.20

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Solution

The fourth proportional to 199,315,029.20, 298,972,543.80 and 199,315,029.20 is: 298,972,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,315,029.20 : 298,972,543.80 = 199,315,029.20 : x
  2. Step 2: Convert to fraction form
    199,315,029.20/298,972,543.80 = 199,315,029.20/x
  3. Step 3: Cross multiply
    199,315,029.20x = 298,972,543.80 × 199,315,029.20
  4. Step 4: Simplify right side
    199,315,029.20x = 59,589,721,297,495,280
  5. Step 5: Solve for x
    x = 59,589,721,297,495,280/199,315,029.20
  6. Step 6: Final answer
    x = 298,972,543.80

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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.