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Finding the Fourth Proportional to 277,451,806.40, 416,051,738.40 and 104,871,262.40

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Solution

The fourth proportional to 277,451,806.40, 416,051,738.40 and 104,871,262.40 is: 157,259,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,451,806.40 : 416,051,738.40 = 104,871,262.40 : x
  2. Step 2: Convert to fraction form
    277,451,806.40/416,051,738.40 = 104,871,262.40/x
  3. Step 3: Cross multiply
    277,451,806.40x = 416,051,738.40 × 104,871,262.40
  4. Step 4: Simplify right side
    277,451,806.40x = 43,631,871,029,722,560
  5. Step 5: Solve for x
    x = 43,631,871,029,722,560/277,451,806.40
  6. Step 6: Final answer
    x = 157,259,278.99

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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.