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Finding the Fourth Proportional to 601,269,616.94, 901,683,204.89 and 207,696,284.11

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Solution

The fourth proportional to 601,269,616.94, 901,683,204.89 and 207,696,284.11 is: 311,468,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,269,616.94 : 901,683,204.89 = 207,696,284.11 : x
  2. Step 2: Convert to fraction form
    601,269,616.94/901,683,204.89 = 207,696,284.11/x
  3. Step 3: Cross multiply
    601,269,616.94x = 901,683,204.89 × 207,696,284.11
  4. Step 4: Simplify right side
    601,269,616.94x = 187,276,251,098,313,824
  5. Step 5: Solve for x
    x = 187,276,251,098,313,824/601,269,616.94
  6. Step 6: Final answer
    x = 311,468,010.06

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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.