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Finding the Fourth Proportional to 1,306,981,622.07, 1,961,051,371.61 and 685,049,049

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Solution

The fourth proportional to 1,306,981,622.07, 1,961,051,371.61 and 685,049,049 is: 1,027,877,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,981,622.07 : 1,961,051,371.61 = 685,049,049 : x
  2. Step 2: Convert to fraction form
    1,306,981,622.07/1,961,051,371.61 = 685,049,049/x
  3. Step 3: Cross multiply
    1,306,981,622.07x = 1,961,051,371.61 × 685,049,049
  4. Step 4: Simplify right side
    1,306,981,622.07x = 1,343,416,377,158,150,912
  5. Step 5: Solve for x
    x = 1,343,416,377,158,150,912/1,306,981,622.07
  6. Step 6: Final answer
    x = 1,027,877,021.74

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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.