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Finding the Fourth Proportional to 1,274,240,700.92, 1,758,540,546 and 772,470,634.26

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Solution

The fourth proportional to 1,274,240,700.92, 1,758,540,546 and 772,470,634.26 is: 1,066,063,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,240,700.92 : 1,758,540,546 = 772,470,634.26 : x
  2. Step 2: Convert to fraction form
    1,274,240,700.92/1,758,540,546 = 772,470,634.26/x
  3. Step 3: Cross multiply
    1,274,240,700.92x = 1,758,540,546 × 772,470,634.26
  4. Step 4: Simplify right side
    1,274,240,700.92x = 1,358,420,930,940,546,816
  5. Step 5: Solve for x
    x = 1,358,420,930,940,546,816/1,274,240,700.92
  6. Step 6: Final answer
    x = 1,066,063,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.