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Finding the Fourth Proportional to 605,451,213,000.10, 908,176,819,500.15 and 605,451,213,000.10

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Solution

The fourth proportional to 605,451,213,000.10, 908,176,819,500.15 and 605,451,213,000.10 is: 908,176,819,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,451,213,000.10 : 908,176,819,500.15 = 605,451,213,000.10 : x
  2. Step 2: Convert to fraction form
    605,451,213,000.10/908,176,819,500.15 = 605,451,213,000.10/x
  3. Step 3: Cross multiply
    605,451,213,000.10x = 908,176,819,500.15 × 605,451,213,000.10
  4. Step 4: Simplify right side
    605,451,213,000.10x = 549,856,756,984,938,649,092,096
  5. Step 5: Solve for x
    x = 549,856,756,984,938,649,092,096/605,451,213,000.10
  6. Step 6: Final answer
    x = 908,176,819,500.15

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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.