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Finding the Fourth Proportional to 3,664,152,829.30, 5,496,229,243.95 and 3,664,152,829.30

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Solution

The fourth proportional to 3,664,152,829.30, 5,496,229,243.95 and 3,664,152,829.30 is: 5,496,229,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,152,829.30 : 5,496,229,243.95 = 3,664,152,829.30 : x
  2. Step 2: Convert to fraction form
    3,664,152,829.30/5,496,229,243.95 = 3,664,152,829.30/x
  3. Step 3: Cross multiply
    3,664,152,829.30x = 5,496,229,243.95 × 3,664,152,829.30
  4. Step 4: Simplify right side
    3,664,152,829.30x = 20,139,023,934,700,793,856
  5. Step 5: Solve for x
    x = 20,139,023,934,700,793,856/3,664,152,829.30
  6. Step 6: Final answer
    x = 5,496,229,243.95

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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.