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Finding the Fourth Proportional to 213,125,906.80, 298,678,600.40 and 213,125,906.80

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Solution

The fourth proportional to 213,125,906.80, 298,678,600.40 and 213,125,906.80 is: 298,678,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125,906.80 : 298,678,600.40 = 213,125,906.80 : x
  2. Step 2: Convert to fraction form
    213,125,906.80/298,678,600.40 = 213,125,906.80/x
  3. Step 3: Cross multiply
    213,125,906.80x = 298,678,600.40 × 213,125,906.80
  4. Step 4: Simplify right side
    213,125,906.80x = 63,656,147,552,004,840
  5. Step 5: Solve for x
    x = 63,656,147,552,004,840/213,125,906.80
  6. Step 6: Final answer
    x = 298,678,600.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.