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Finding the Fourth Proportional to 902,562,809.30, 1,351,691,877.86 and 902,562,809.30

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Solution

The fourth proportional to 902,562,809.30, 1,351,691,877.86 and 902,562,809.30 is: 1,351,691,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,562,809.30 : 1,351,691,877.86 = 902,562,809.30 : x
  2. Step 2: Convert to fraction form
    902,562,809.30/1,351,691,877.86 = 902,562,809.30/x
  3. Step 3: Cross multiply
    902,562,809.30x = 1,351,691,877.86 × 902,562,809.30
  4. Step 4: Simplify right side
    902,562,809.30x = 1,219,986,818,589,313,792
  5. Step 5: Solve for x
    x = 1,219,986,818,589,313,792/902,562,809.30
  6. Step 6: Final answer
    x = 1,351,691,877.86

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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.