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Finding the Fourth Proportional to 331,446,384,010.40, 497,169,576,015.60 and 331,446,384,010.40

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Solution

The fourth proportional to 331,446,384,010.40, 497,169,576,015.60 and 331,446,384,010.40 is: 497,169,576,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,446,384,010.40 : 497,169,576,015.60 = 331,446,384,010.40 : x
  2. Step 2: Convert to fraction form
    331,446,384,010.40/497,169,576,015.60 = 331,446,384,010.40/x
  3. Step 3: Cross multiply
    331,446,384,010.40x = 497,169,576,015.60 × 331,446,384,010.40
  4. Step 4: Simplify right side
    331,446,384,010.40x = 164,785,058,210,354,326,142,976
  5. Step 5: Solve for x
    x = 164,785,058,210,354,326,142,976/331,446,384,010.40
  6. Step 6: Final answer
    x = 497,169,576,015.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.