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Finding the Fourth Proportional to 976,671,932.60, 1,465,007,898.90 and 330,439,676.60

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Solution

The fourth proportional to 976,671,932.60, 1,465,007,898.90 and 330,439,676.60 is: 495,659,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,671,932.60 : 1,465,007,898.90 = 330,439,676.60 : x
  2. Step 2: Convert to fraction form
    976,671,932.60/1,465,007,898.90 = 330,439,676.60/x
  3. Step 3: Cross multiply
    976,671,932.60x = 1,465,007,898.90 × 330,439,676.60
  4. Step 4: Simplify right side
    976,671,932.60x = 484,096,736,328,961,536
  5. Step 5: Solve for x
    x = 484,096,736,328,961,536/976,671,932.60
  6. Step 6: Final answer
    x = 495,659,514.90

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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.