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Finding the Fourth Proportional to 495,794,441.64, 743,782,463.64 and 204,502,661.40

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Solution

The fourth proportional to 495,794,441.64, 743,782,463.64 and 204,502,661.40 is: 306,791,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,794,441.64 : 743,782,463.64 = 204,502,661.40 : x
  2. Step 2: Convert to fraction form
    495,794,441.64/743,782,463.64 = 204,502,661.40/x
  3. Step 3: Cross multiply
    495,794,441.64x = 743,782,463.64 × 204,502,661.40
  4. Step 4: Simplify right side
    495,794,441.64x = 152,105,493,317,028,736
  5. Step 5: Solve for x
    x = 152,105,493,317,028,736/495,794,441.64
  6. Step 6: Final answer
    x = 306,791,445.29

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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.