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Finding the Fourth Proportional to 31,912,704,429.60, 47,869,056,644.40 and 31,912,704,429.60

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Solution

The fourth proportional to 31,912,704,429.60, 47,869,056,644.40 and 31,912,704,429.60 is: 47,869,056,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912,704,429.60 : 47,869,056,644.40 = 31,912,704,429.60 : x
  2. Step 2: Convert to fraction form
    31,912,704,429.60/47,869,056,644.40 = 31,912,704,429.60/x
  3. Step 3: Cross multiply
    31,912,704,429.60x = 47,869,056,644.40 × 31,912,704,429.60
  4. Step 4: Simplify right side
    31,912,704,429.60x = 1,527,631,056,016,517,103,616
  5. Step 5: Solve for x
    x = 1,527,631,056,016,517,103,616/31,912,704,429.60
  6. Step 6: Final answer
    x = 47,869,056,644.40

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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.