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Finding the Fourth Proportional to 230,731,682,972.80, 346,097,524,459.20 and 230,731,682,972.80

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Solution

The fourth proportional to 230,731,682,972.80, 346,097,524,459.20 and 230,731,682,972.80 is: 346,097,524,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,731,682,972.80 : 346,097,524,459.20 = 230,731,682,972.80 : x
  2. Step 2: Convert to fraction form
    230,731,682,972.80/346,097,524,459.20 = 230,731,682,972.80/x
  3. Step 3: Cross multiply
    230,731,682,972.80x = 346,097,524,459.20 × 230,731,682,972.80
  4. Step 4: Simplify right side
    230,731,682,972.80x = 79,855,664,291,191,027,924,992
  5. Step 5: Solve for x
    x = 79,855,664,291,191,027,924,992/230,731,682,972.80
  6. Step 6: Final answer
    x = 346,097,524,459.20

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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.