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Finding the Fourth Proportional to 610,417,715.80, 915,682,560.90 and 201,474,765.40

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Solution

The fourth proportional to 610,417,715.80, 915,682,560.90 and 201,474,765.40 is: 302,230,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,417,715.80 : 915,682,560.90 = 201,474,765.40 : x
  2. Step 2: Convert to fraction form
    610,417,715.80/915,682,560.90 = 201,474,765.40/x
  3. Step 3: Cross multiply
    610,417,715.80x = 915,682,560.90 × 201,474,765.40
  4. Step 4: Simplify right side
    610,417,715.80x = 184,486,929,138,198,720
  5. Step 5: Solve for x
    x = 184,486,929,138,198,720/610,417,715.80
  6. Step 6: Final answer
    x = 302,230,627.26

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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.