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Finding the Fourth Proportional to 38,202,907,204.80, 57,304,360,807.20 and 38,202,907,204.80

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Solution

The fourth proportional to 38,202,907,204.80, 57,304,360,807.20 and 38,202,907,204.80 is: 57,304,360,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,907,204.80 : 57,304,360,807.20 = 38,202,907,204.80 : x
  2. Step 2: Convert to fraction form
    38,202,907,204.80/57,304,360,807.20 = 38,202,907,204.80/x
  3. Step 3: Cross multiply
    38,202,907,204.80x = 57,304,360,807.20 × 38,202,907,204.80
  4. Step 4: Simplify right side
    38,202,907,204.80x = 2,189,193,178,347,839,684,608
  5. Step 5: Solve for x
    x = 2,189,193,178,347,839,684,608/38,202,907,204.80
  6. Step 6: Final answer
    x = 57,304,360,807.20

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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.