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Finding the Fourth Proportional to 767,938,448.20, 1,059,754,373.78 and 433,481,369.80

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Solution

The fourth proportional to 767,938,448.20, 1,059,754,373.78 and 433,481,369.80 is: 598,203,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,938,448.20 : 1,059,754,373.78 = 433,481,369.80 : x
  2. Step 2: Convert to fraction form
    767,938,448.20/1,059,754,373.78 = 433,481,369.80/x
  3. Step 3: Cross multiply
    767,938,448.20x = 1,059,754,373.78 × 433,481,369.80
  4. Step 4: Simplify right side
    767,938,448.20x = 459,383,777,597,695,616
  5. Step 5: Solve for x
    x = 459,383,777,597,695,616/767,938,448.20
  6. Step 6: Final answer
    x = 598,203,903.81

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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.