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Finding the Fourth Proportional to 330,561,210.80, 495,841,816.20 and 294,848,375.60

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Solution

The fourth proportional to 330,561,210.80, 495,841,816.20 and 294,848,375.60 is: 442,272,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,561,210.80 : 495,841,816.20 = 294,848,375.60 : x
  2. Step 2: Convert to fraction form
    330,561,210.80/495,841,816.20 = 294,848,375.60/x
  3. Step 3: Cross multiply
    330,561,210.80x = 495,841,816.20 × 294,848,375.60
  4. Step 4: Simplify right side
    330,561,210.80x = 146,198,154,061,123,776
  5. Step 5: Solve for x
    x = 146,198,154,061,123,776/330,561,210.80
  6. Step 6: Final answer
    x = 442,272,563.40

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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.