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Finding the Fourth Proportional to 605,451,213,000.20, 908,176,819,500.30 and 605,451,213,000.20

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Solution

The fourth proportional to 605,451,213,000.20, 908,176,819,500.30 and 605,451,213,000.20 is: 908,176,819,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,451,213,000.20 : 908,176,819,500.30 = 605,451,213,000.20 : x
  2. Step 2: Convert to fraction form
    605,451,213,000.20/908,176,819,500.30 = 605,451,213,000.20/x
  3. Step 3: Cross multiply
    605,451,213,000.20x = 908,176,819,500.30 × 605,451,213,000.20
  4. Step 4: Simplify right side
    605,451,213,000.20x = 549,856,756,985,120,312,786,944
  5. Step 5: Solve for x
    x = 549,856,756,985,120,312,786,944/605,451,213,000.20
  6. Step 6: Final answer
    x = 908,176,819,500.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.