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Finding the Fourth Proportional to 993,191,722.60, 1,489,787,583.90 and 993,191,722.60

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Solution

The fourth proportional to 993,191,722.60, 1,489,787,583.90 and 993,191,722.60 is: 1,489,787,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,191,722.60 : 1,489,787,583.90 = 993,191,722.60 : x
  2. Step 2: Convert to fraction form
    993,191,722.60/1,489,787,583.90 = 993,191,722.60/x
  3. Step 3: Cross multiply
    993,191,722.60x = 1,489,787,583.90 × 993,191,722.60
  4. Step 4: Simplify right side
    993,191,722.60x = 1,479,644,696,761,733,120
  5. Step 5: Solve for x
    x = 1,479,644,696,761,733,120/993,191,722.60
  6. Step 6: Final answer
    x = 1,489,787,583.90

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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.