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Finding the Fourth Proportional to 325,815,339.90, 488,723,009.85 and 325,815,339.90

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Solution

The fourth proportional to 325,815,339.90, 488,723,009.85 and 325,815,339.90 is: 488,723,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,815,339.90 : 488,723,009.85 = 325,815,339.90 : x
  2. Step 2: Convert to fraction form
    325,815,339.90/488,723,009.85 = 325,815,339.90/x
  3. Step 3: Cross multiply
    325,815,339.90x = 488,723,009.85 × 325,815,339.90
  4. Step 4: Simplify right side
    325,815,339.90x = 159,233,453,571,228,800
  5. Step 5: Solve for x
    x = 159,233,453,571,228,800/325,815,339.90
  6. Step 6: Final answer
    x = 488,723,009.85

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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.