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Finding the Fourth Proportional to 178,848,291.20, 268,272,436.80 and 178,848,291.20

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Solution

The fourth proportional to 178,848,291.20, 268,272,436.80 and 178,848,291.20 is: 268,272,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848,291.20 : 268,272,436.80 = 178,848,291.20 : x
  2. Step 2: Convert to fraction form
    178,848,291.20/268,272,436.80 = 178,848,291.20/x
  3. Step 3: Cross multiply
    178,848,291.20x = 268,272,436.80 × 178,848,291.20
  4. Step 4: Simplify right side
    178,848,291.20x = 47,980,066,897,739,992
  5. Step 5: Solve for x
    x = 47,980,066,897,739,992/178,848,291.20
  6. Step 6: Final answer
    x = 268,272,436.80

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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.