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Finding the Fourth Proportional to 212,613,699,231.40, 318,920,548,847.10 and 212,613,699,231.40

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Solution

The fourth proportional to 212,613,699,231.40, 318,920,548,847.10 and 212,613,699,231.40 is: 318,920,548,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,613,699,231.40 : 318,920,548,847.10 = 212,613,699,231.40 : x
  2. Step 2: Convert to fraction form
    212,613,699,231.40/318,920,548,847.10 = 212,613,699,231.40/x
  3. Step 3: Cross multiply
    212,613,699,231.40x = 318,920,548,847.10 × 212,613,699,231.40
  4. Step 4: Simplify right side
    212,613,699,231.40x = 67,806,877,651,290,321,584,128
  5. Step 5: Solve for x
    x = 67,806,877,651,290,321,584,128/212,613,699,231.40
  6. Step 6: Final answer
    x = 318,920,548,847.10

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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.