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Finding the Fourth Proportional to 330,561,209.80, 495,841,814.70 and 294,848,374.60

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Solution

The fourth proportional to 330,561,209.80, 495,841,814.70 and 294,848,374.60 is: 442,272,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,561,209.80 : 495,841,814.70 = 294,848,374.60 : x
  2. Step 2: Convert to fraction form
    330,561,209.80/495,841,814.70 = 294,848,374.60/x
  3. Step 3: Cross multiply
    330,561,209.80x = 495,841,814.70 × 294,848,374.60
  4. Step 4: Simplify right side
    330,561,209.80x = 146,198,153,123,009,408
  5. Step 5: Solve for x
    x = 146,198,153,123,009,408/330,561,209.80
  6. Step 6: Final answer
    x = 442,272,561.90

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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.