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Finding the Fourth Proportional to 4,474,497,029,187, 6,711,745,543,780.40 and 4,474,497,029,187

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Solution

The fourth proportional to 4,474,497,029,187, 6,711,745,543,780.40 and 4,474,497,029,187 is: 6,711,745,543,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,497,029,187 : 6,711,745,543,780.40 = 4,474,497,029,187 : x
  2. Step 2: Convert to fraction form
    4,474,497,029,187/6,711,745,543,780.40 = 4,474,497,029,187/x
  3. Step 3: Cross multiply
    4,474,497,029,187x = 6,711,745,543,780.40 × 4,474,497,029,187
  4. Step 4: Simplify right side
    4,474,497,029,187x = 30,031,685,496,304,487,502,970,880
  5. Step 5: Solve for x
    x = 30,031,685,496,304,487,502,970,880/4,474,497,029,187
  6. Step 6: Final answer
    x = 6,711,745,543,780.40

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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.