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Finding the Fourth Proportional to 164,892,672,528.80, 247,339,008,793.20 and 40,816,079,376.80

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Solution

The fourth proportional to 164,892,672,528.80, 247,339,008,793.20 and 40,816,079,376.80 is: 61,224,119,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,892,672,528.80 : 247,339,008,793.20 = 40,816,079,376.80 : x
  2. Step 2: Convert to fraction form
    164,892,672,528.80/247,339,008,793.20 = 40,816,079,376.80/x
  3. Step 3: Cross multiply
    164,892,672,528.80x = 247,339,008,793.20 × 40,816,079,376.80
  4. Step 4: Simplify right side
    164,892,672,528.80x = 10,095,408,615,882,286,432,256
  5. Step 5: Solve for x
    x = 10,095,408,615,882,286,432,256/164,892,672,528.80
  6. Step 6: Final answer
    x = 61,224,119,065.20

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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.