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Finding the Fourth Proportional to 178,897,102.20, 268,345,653.30 and 178,897,102.20

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Solution

The fourth proportional to 178,897,102.20, 268,345,653.30 and 178,897,102.20 is: 268,345,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,897,102.20 : 268,345,653.30 = 178,897,102.20 : x
  2. Step 2: Convert to fraction form
    178,897,102.20/268,345,653.30 = 178,897,102.20/x
  3. Step 3: Cross multiply
    178,897,102.20x = 268,345,653.30 × 178,897,102.20
  4. Step 4: Simplify right side
    178,897,102.20x = 48,006,259,763,335,864
  5. Step 5: Solve for x
    x = 48,006,259,763,335,864/178,897,102.20
  6. Step 6: Final answer
    x = 268,345,653.30

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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.