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Finding the Fourth Proportional to 72,669,715,912.80, 109,004,573,869.20 and 72,669,715,912.80

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Solution

The fourth proportional to 72,669,715,912.80, 109,004,573,869.20 and 72,669,715,912.80 is: 109,004,573,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,669,715,912.80 : 109,004,573,869.20 = 72,669,715,912.80 : x
  2. Step 2: Convert to fraction form
    72,669,715,912.80/109,004,573,869.20 = 72,669,715,912.80/x
  3. Step 3: Cross multiply
    72,669,715,912.80x = 109,004,573,869.20 × 72,669,715,912.80
  4. Step 4: Simplify right side
    72,669,715,912.80x = 7,921,331,416,270,586,773,504
  5. Step 5: Solve for x
    x = 7,921,331,416,270,586,773,504/72,669,715,912.80
  6. Step 6: Final answer
    x = 109,004,573,869.20

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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.