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Finding the Fourth Proportional to 814,541,346,006.70, 1,221,812,019,010 and 814,541,346,006.70

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Solution

The fourth proportional to 814,541,346,006.70, 1,221,812,019,010 and 814,541,346,006.70 is: 1,221,812,019,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,541,346,006.70 : 1,221,812,019,010 = 814,541,346,006.70 : x
  2. Step 2: Convert to fraction form
    814,541,346,006.70/1,221,812,019,010 = 814,541,346,006.70/x
  3. Step 3: Cross multiply
    814,541,346,006.70x = 1,221,812,019,010 × 814,541,346,006.70
  4. Step 4: Simplify right side
    814,541,346,006.70x = 995,216,406,531,569,059,102,720
  5. Step 5: Solve for x
    x = 995,216,406,531,569,059,102,720/814,541,346,006.70
  6. Step 6: Final answer
    x = 1,221,812,019,010

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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.