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Finding the Fourth Proportional to 296,947,468.40, 445,421,202.60 and 200,201,586.80

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Solution

The fourth proportional to 296,947,468.40, 445,421,202.60 and 200,201,586.80 is: 300,302,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,947,468.40 : 445,421,202.60 = 200,201,586.80 : x
  2. Step 2: Convert to fraction form
    296,947,468.40/445,421,202.60 = 200,201,586.80/x
  3. Step 3: Cross multiply
    296,947,468.40x = 445,421,202.60 × 200,201,586.80
  4. Step 4: Simplify right side
    296,947,468.40x = 89,174,031,554,884,288
  5. Step 5: Solve for x
    x = 89,174,031,554,884,288/296,947,468.40
  6. Step 6: Final answer
    x = 300,302,380.20

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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.