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Finding the Fourth Proportional to 7,601,472,851.40, 10,656,573,874.20 and 7,601,472,851.40

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Solution

The fourth proportional to 7,601,472,851.40, 10,656,573,874.20 and 7,601,472,851.40 is: 10,656,573,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601,472,851.40 : 10,656,573,874.20 = 7,601,472,851.40 : x
  2. Step 2: Convert to fraction form
    7,601,472,851.40/10,656,573,874.20 = 7,601,472,851.40/x
  3. Step 3: Cross multiply
    7,601,472,851.40x = 10,656,573,874.20 × 7,601,472,851.40
  4. Step 4: Simplify right side
    7,601,472,851.40x = 81,005,656,993,669,824,512
  5. Step 5: Solve for x
    x = 81,005,656,993,669,824,512/7,601,472,851.40
  6. Step 6: Final answer
    x = 10,656,573,874.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.