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Finding the Fourth Proportional to 146,678,304,015.45, 220,017,456,023.18 and 146,678,304,015.45

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Solution

The fourth proportional to 146,678,304,015.45, 220,017,456,023.18 and 146,678,304,015.45 is: 220,017,456,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,304,015.45 : 220,017,456,023.18 = 146,678,304,015.45 : x
  2. Step 2: Convert to fraction form
    146,678,304,015.45/220,017,456,023.18 = 146,678,304,015.45/x
  3. Step 3: Cross multiply
    146,678,304,015.45x = 220,017,456,023.18 × 146,678,304,015.45
  4. Step 4: Simplify right side
    146,678,304,015.45x = 32,271,787,303,273,897,132,032
  5. Step 5: Solve for x
    x = 32,271,787,303,273,897,132,032/146,678,304,015.45
  6. Step 6: Final answer
    x = 220,017,456,023.18

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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.