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Finding the Fourth Proportional to 616,481,697.12, 850,868,335.20 and 365,725,274.88

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Solution

The fourth proportional to 616,481,697.12, 850,868,335.20 and 365,725,274.88 is: 504,774,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,481,697.12 : 850,868,335.20 = 365,725,274.88 : x
  2. Step 2: Convert to fraction form
    616,481,697.12/850,868,335.20 = 365,725,274.88/x
  3. Step 3: Cross multiply
    616,481,697.12x = 850,868,335.20 × 365,725,274.88
  4. Step 4: Simplify right side
    616,481,697.12x = 311,184,055,777,707,968
  5. Step 5: Solve for x
    x = 311,184,055,777,707,968/616,481,697.12
  6. Step 6: Final answer
    x = 504,774,200.49

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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.