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Finding the Fourth Proportional to 892,409,363.11, 1,231,554,827.88 and 495,949,062.70

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Solution

The fourth proportional to 892,409,363.11, 1,231,554,827.88 and 495,949,062.70 is: 684,426,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,409,363.11 : 1,231,554,827.88 = 495,949,062.70 : x
  2. Step 2: Convert to fraction form
    892,409,363.11/1,231,554,827.88 = 495,949,062.70/x
  3. Step 3: Cross multiply
    892,409,363.11x = 1,231,554,827.88 × 495,949,062.70
  4. Step 4: Simplify right side
    892,409,363.11x = 610,788,462,542,108,288
  5. Step 5: Solve for x
    x = 610,788,462,542,108,288/892,409,363.11
  6. Step 6: Final answer
    x = 684,426,326.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.