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Finding the Fourth Proportional to 538,083,000.20, 805,689,609.60 and 538,083,000.20

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Solution

The fourth proportional to 538,083,000.20, 805,689,609.60 and 538,083,000.20 is: 805,689,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,083,000.20 : 805,689,609.60 = 538,083,000.20 : x
  2. Step 2: Convert to fraction form
    538,083,000.20/805,689,609.60 = 538,083,000.20/x
  3. Step 3: Cross multiply
    538,083,000.20x = 805,689,609.60 × 538,083,000.20
  4. Step 4: Simplify right side
    538,083,000.20x = 433,527,882,363,534,784
  5. Step 5: Solve for x
    x = 433,527,882,363,534,784/538,083,000.20
  6. Step 6: Final answer
    x = 805,689,609.60

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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.