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Finding the Fourth Proportional to 1,997,945,423.80, 2,996,918,135.70 and 1,997,945,423.80

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Solution

The fourth proportional to 1,997,945,423.80, 2,996,918,135.70 and 1,997,945,423.80 is: 2,996,918,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,945,423.80 : 2,996,918,135.70 = 1,997,945,423.80 : x
  2. Step 2: Convert to fraction form
    1,997,945,423.80/2,996,918,135.70 = 1,997,945,423.80/x
  3. Step 3: Cross multiply
    1,997,945,423.80x = 2,996,918,135.70 × 1,997,945,423.80
  4. Step 4: Simplify right side
    1,997,945,423.80x = 5,987,678,874,725,042,176
  5. Step 5: Solve for x
    x = 5,987,678,874,725,042,176/1,997,945,423.80
  6. Step 6: Final answer
    x = 2,996,918,135.70

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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.