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Finding the Fourth Proportional to 562,495,974.93, 843,763,097.64 and 267,238,714.95

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Solution

The fourth proportional to 562,495,974.93, 843,763,097.64 and 267,238,714.95 is: 400,867,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,495,974.93 : 843,763,097.64 = 267,238,714.95 : x
  2. Step 2: Convert to fraction form
    562,495,974.93/843,763,097.64 = 267,238,714.95/x
  3. Step 3: Cross multiply
    562,495,974.93x = 843,763,097.64 × 267,238,714.95
  4. Step 4: Simplify right side
    562,495,974.93x = 225,486,165,935,544,960
  5. Step 5: Solve for x
    x = 225,486,165,935,544,960/562,495,974.93
  6. Step 6: Final answer
    x = 400,867,163.47

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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.