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Finding the Fourth Proportional to 902,562,808.80, 1,351,691,877.11 and 902,562,808.80

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Solution

The fourth proportional to 902,562,808.80, 1,351,691,877.11 and 902,562,808.80 is: 1,351,691,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,562,808.80 : 1,351,691,877.11 = 902,562,808.80 : x
  2. Step 2: Convert to fraction form
    902,562,808.80/1,351,691,877.11 = 902,562,808.80/x
  3. Step 3: Cross multiply
    902,562,808.80x = 1,351,691,877.11 × 902,562,808.80
  4. Step 4: Simplify right side
    902,562,808.80x = 1,219,986,817,236,545,792
  5. Step 5: Solve for x
    x = 1,219,986,817,236,545,792/902,562,808.80
  6. Step 6: Final answer
    x = 1,351,691,877.11

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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.