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Finding the Fourth Proportional to 194,894,294.03, 292,378,311.34 and 78,318,724.85

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Solution

The fourth proportional to 194,894,294.03, 292,378,311.34 and 78,318,724.85 is: 117,492,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,894,294.03 : 292,378,311.34 = 78,318,724.85 : x
  2. Step 2: Convert to fraction form
    194,894,294.03/292,378,311.34 = 78,318,724.85/x
  3. Step 3: Cross multiply
    194,894,294.03x = 292,378,311.34 × 78,318,724.85
  4. Step 4: Simplify right side
    194,894,294.03x = 22,898,696,516,287,404
  5. Step 5: Solve for x
    x = 22,898,696,516,287,404/194,894,294.03
  6. Step 6: Final answer
    x = 117,492,903.68

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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.