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Finding the Fourth Proportional to 7,467,056,838.20, 11,200,585,257.30 and 7,467,056,838.20

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Solution

The fourth proportional to 7,467,056,838.20, 11,200,585,257.30 and 7,467,056,838.20 is: 11,200,585,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,056,838.20 : 11,200,585,257.30 = 7,467,056,838.20 : x
  2. Step 2: Convert to fraction form
    7,467,056,838.20/11,200,585,257.30 = 7,467,056,838.20/x
  3. Step 3: Cross multiply
    7,467,056,838.20x = 11,200,585,257.30 × 7,467,056,838.20
  4. Step 4: Simplify right side
    7,467,056,838.20x = 83,635,406,737,364,058,112
  5. Step 5: Solve for x
    x = 83,635,406,737,364,058,112/7,467,056,838.20
  6. Step 6: Final answer
    x = 11,200,585,257.30

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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.