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Finding the Fourth Proportional to 264,196,201.80, 396,294,302.70 and 221,468,345.40

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Solution

The fourth proportional to 264,196,201.80, 396,294,302.70 and 221,468,345.40 is: 332,202,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,196,201.80 : 396,294,302.70 = 221,468,345.40 : x
  2. Step 2: Convert to fraction form
    264,196,201.80/396,294,302.70 = 221,468,345.40/x
  3. Step 3: Cross multiply
    264,196,201.80x = 396,294,302.70 × 221,468,345.40
  4. Step 4: Simplify right side
    264,196,201.80x = 87,766,643,510,415,760
  5. Step 5: Solve for x
    x = 87,766,643,510,415,760/264,196,201.80
  6. Step 6: Final answer
    x = 332,202,518.10

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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.