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Finding the Fourth Proportional to 702,351,536.70, 969,174,483.60 and 389,027,209.14

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Solution

The fourth proportional to 702,351,536.70, 969,174,483.60 and 389,027,209.14 is: 536,818,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,351,536.70 : 969,174,483.60 = 389,027,209.14 : x
  2. Step 2: Convert to fraction form
    702,351,536.70/969,174,483.60 = 389,027,209.14/x
  3. Step 3: Cross multiply
    702,351,536.70x = 969,174,483.60 × 389,027,209.14
  4. Step 4: Simplify right side
    702,351,536.70x = 377,035,244,524,608,704
  5. Step 5: Solve for x
    x = 377,035,244,524,608,704/702,351,536.70
  6. Step 6: Final answer
    x = 536,818,423.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.