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Finding the Fourth Proportional to 403,634,142,000.40, 605,451,213,000.60 and 403,634,142,000.40

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Solution

The fourth proportional to 403,634,142,000.40, 605,451,213,000.60 and 403,634,142,000.40 is: 605,451,213,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,634,142,000.40 : 605,451,213,000.60 = 403,634,142,000.40 : x
  2. Step 2: Convert to fraction form
    403,634,142,000.40/605,451,213,000.60 = 403,634,142,000.40/x
  3. Step 3: Cross multiply
    403,634,142,000.40x = 605,451,213,000.60 × 403,634,142,000.40
  4. Step 4: Simplify right side
    403,634,142,000.40x = 244,380,780,882,598,603,784,192
  5. Step 5: Solve for x
    x = 244,380,780,882,598,603,784,192/403,634,142,000.40
  6. Step 6: Final answer
    x = 605,451,213,000.60

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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.