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Finding the Fourth Proportional to 468,249,694.25, 646,025,497.70 and 267,162,109.31

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Solution

The fourth proportional to 468,249,694.25, 646,025,497.70 and 267,162,109.31 is: 368,592,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,249,694.25 : 646,025,497.70 = 267,162,109.31 : x
  2. Step 2: Convert to fraction form
    468,249,694.25/646,025,497.70 = 267,162,109.31/x
  3. Step 3: Cross multiply
    468,249,694.25x = 646,025,497.70 × 267,162,109.31
  4. Step 4: Simplify right side
    468,249,694.25x = 172,593,534,633,853,824
  5. Step 5: Solve for x
    x = 172,593,534,633,853,824/468,249,694.25
  6. Step 6: Final answer
    x = 368,592,946.79

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