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Finding the Fourth Proportional to 833,494,611.84, 1,150,259,739.84 and 462,191,700.48

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Solution

The fourth proportional to 833,494,611.84, 1,150,259,739.84 and 462,191,700.48 is: 637,845,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,494,611.84 : 1,150,259,739.84 = 462,191,700.48 : x
  2. Step 2: Convert to fraction form
    833,494,611.84/1,150,259,739.84 = 462,191,700.48/x
  3. Step 3: Cross multiply
    833,494,611.84x = 1,150,259,739.84 × 462,191,700.48
  4. Step 4: Simplify right side
    833,494,611.84x = 531,640,505,150,331,968
  5. Step 5: Solve for x
    x = 531,640,505,150,331,968/833,494,611.84
  6. Step 6: Final answer
    x = 637,845,161.32

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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.