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Finding the Fourth Proportional to 950,942,456.30, 1,333,133,424.10 and 950,942,456.30

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Solution

The fourth proportional to 950,942,456.30, 1,333,133,424.10 and 950,942,456.30 is: 1,333,133,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,942,456.30 : 1,333,133,424.10 = 950,942,456.30 : x
  2. Step 2: Convert to fraction form
    950,942,456.30/1,333,133,424.10 = 950,942,456.30/x
  3. Step 3: Cross multiply
    950,942,456.30x = 1,333,133,424.10 × 950,942,456.30
  4. Step 4: Simplify right side
    950,942,456.30x = 1,267,733,172,889,283,584
  5. Step 5: Solve for x
    x = 1,267,733,172,889,283,584/950,942,456.30
  6. Step 6: Final answer
    x = 1,333,133,424.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.