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Finding the Fourth Proportional to 204,089,421.90, 306,134,132.85 and 204,089,421.90

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Solution

The fourth proportional to 204,089,421.90, 306,134,132.85 and 204,089,421.90 is: 306,134,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,089,421.90 : 306,134,132.85 = 204,089,421.90 : x
  2. Step 2: Convert to fraction form
    204,089,421.90/306,134,132.85 = 204,089,421.90/x
  3. Step 3: Cross multiply
    204,089,421.90x = 306,134,132.85 × 204,089,421.90
  4. Step 4: Simplify right side
    204,089,421.90x = 62,478,738,197,214,304
  5. Step 5: Solve for x
    x = 62,478,738,197,214,304/204,089,421.90
  6. Step 6: Final answer
    x = 306,134,132.85

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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.