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Finding the Fourth Proportional to 348,613,727,999.60, 522,920,591,999.40 and 348,613,727,999.60

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Solution

The fourth proportional to 348,613,727,999.60, 522,920,591,999.40 and 348,613,727,999.60 is: 522,920,591,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,613,727,999.60 : 522,920,591,999.40 = 348,613,727,999.60 : x
  2. Step 2: Convert to fraction form
    348,613,727,999.60/522,920,591,999.40 = 348,613,727,999.60/x
  3. Step 3: Cross multiply
    348,613,727,999.60x = 522,920,591,999.40 × 348,613,727,999.60
  4. Step 4: Simplify right side
    348,613,727,999.60x = 182,297,297,024,668,630,253,568
  5. Step 5: Solve for x
    x = 182,297,297,024,668,630,253,568/348,613,727,999.60
  6. Step 6: Final answer
    x = 522,920,591,999.40

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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.