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Finding the Fourth Proportional to 7,672,536,004.80, 10,752,434,318.40 and 7,672,536,004.80

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Solution

The fourth proportional to 7,672,536,004.80, 10,752,434,318.40 and 7,672,536,004.80 is: 10,752,434,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672,536,004.80 : 10,752,434,318.40 = 7,672,536,004.80 : x
  2. Step 2: Convert to fraction form
    7,672,536,004.80/10,752,434,318.40 = 7,672,536,004.80/x
  3. Step 3: Cross multiply
    7,672,536,004.80x = 10,752,434,318.40 × 7,672,536,004.80
  4. Step 4: Simplify right side
    7,672,536,004.80x = 82,498,439,447,171,153,920
  5. Step 5: Solve for x
    x = 82,498,439,447,171,153,920/7,672,536,004.80
  6. Step 6: Final answer
    x = 10,752,434,318.40

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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.