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Finding the Fourth Proportional to 2,227,676,869,658.50, 3,341,515,304,487.80 and 2,227,676,869,658.50

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Solution

The fourth proportional to 2,227,676,869,658.50, 3,341,515,304,487.80 and 2,227,676,869,658.50 is: 3,341,515,304,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227,676,869,658.50 : 3,341,515,304,487.80 = 2,227,676,869,658.50 : x
  2. Step 2: Convert to fraction form
    2,227,676,869,658.50/3,341,515,304,487.80 = 2,227,676,869,658.50/x
  3. Step 3: Cross multiply
    2,227,676,869,658.50x = 3,341,515,304,487.80 × 2,227,676,869,658.50
  4. Step 4: Simplify right side
    2,227,676,869,658.50x = 7,443,816,353,417,350,925,516,800
  5. Step 5: Solve for x
    x = 7,443,816,353,417,350,925,516,800/2,227,676,869,658.50
  6. Step 6: Final answer
    x = 3,341,515,304,487.80

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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.