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Finding the Fourth Proportional to 325,820,153.90, 488,730,230.85 and 325,820,153.90

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Solution

The fourth proportional to 325,820,153.90, 488,730,230.85 and 325,820,153.90 is: 488,730,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,820,153.90 : 488,730,230.85 = 325,820,153.90 : x
  2. Step 2: Convert to fraction form
    325,820,153.90/488,730,230.85 = 325,820,153.90/x
  3. Step 3: Cross multiply
    325,820,153.90x = 488,730,230.85 × 325,820,153.90
  4. Step 4: Simplify right side
    325,820,153.90x = 159,238,159,031,129,536
  5. Step 5: Solve for x
    x = 159,238,159,031,129,536/325,820,153.90
  6. Step 6: Final answer
    x = 488,730,230.85

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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.