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Finding the Fourth Proportional to 885,342,002.10, 1,328,013,003.15 and 873,248,766.90

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Solution

The fourth proportional to 885,342,002.10, 1,328,013,003.15 and 873,248,766.90 is: 1,309,873,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,342,002.10 : 1,328,013,003.15 = 873,248,766.90 : x
  2. Step 2: Convert to fraction form
    885,342,002.10/1,328,013,003.15 = 873,248,766.90/x
  3. Step 3: Cross multiply
    885,342,002.10x = 1,328,013,003.15 × 873,248,766.90
  4. Step 4: Simplify right side
    885,342,002.10x = 1,159,685,717,427,903,488
  5. Step 5: Solve for x
    x = 1,159,685,717,427,903,488/885,342,002.10
  6. Step 6: Final answer
    x = 1,309,873,150.35

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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.