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Finding the Fourth Proportional to 767,938,449.20, 1,059,754,375.16 and 433,481,370.80

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Solution

The fourth proportional to 767,938,449.20, 1,059,754,375.16 and 433,481,370.80 is: 598,203,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,938,449.20 : 1,059,754,375.16 = 433,481,370.80 : x
  2. Step 2: Convert to fraction form
    767,938,449.20/1,059,754,375.16 = 433,481,370.80/x
  3. Step 3: Cross multiply
    767,938,449.20x = 1,059,754,375.16 × 433,481,370.80
  4. Step 4: Simplify right side
    767,938,449.20x = 459,383,779,255,654,272
  5. Step 5: Solve for x
    x = 459,383,779,255,654,272/767,938,449.20
  6. Step 6: Final answer
    x = 598,203,905.19

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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.