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Finding the Fourth Proportional to 8,148,869,794.15, 12,223,304,691.23 and 8,148,869,794.15

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Solution

The fourth proportional to 8,148,869,794.15, 12,223,304,691.23 and 8,148,869,794.15 is: 12,223,304,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,869,794.15 : 12,223,304,691.23 = 8,148,869,794.15 : x
  2. Step 2: Convert to fraction form
    8,148,869,794.15/12,223,304,691.23 = 8,148,869,794.15/x
  3. Step 3: Cross multiply
    8,148,869,794.15x = 12,223,304,691.23 × 8,148,869,794.15
  4. Step 4: Simplify right side
    8,148,869,794.15x = 99,606,118,383,056,125,952
  5. Step 5: Solve for x
    x = 99,606,118,383,056,125,952/8,148,869,794.15
  6. Step 6: Final answer
    x = 12,223,304,691.23

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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.