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Finding the Fourth Proportional to 3,711,242,667.15, 5,566,864,000.73 and 3,711,242,667.15

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Solution

The fourth proportional to 3,711,242,667.15, 5,566,864,000.73 and 3,711,242,667.15 is: 5,566,864,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711,242,667.15 : 5,566,864,000.73 = 3,711,242,667.15 : x
  2. Step 2: Convert to fraction form
    3,711,242,667.15/5,566,864,000.73 = 3,711,242,667.15/x
  3. Step 3: Cross multiply
    3,711,242,667.15x = 5,566,864,000.73 × 3,711,242,667.15
  4. Step 4: Simplify right side
    3,711,242,667.15x = 20,659,983,201,730,523,136
  5. Step 5: Solve for x
    x = 20,659,983,201,730,523,136/3,711,242,667.15
  6. Step 6: Final answer
    x = 5,566,864,000.73

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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.