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Finding the Fourth Proportional to 393,185,649.60, 589,026,448.80 and 211,372,401.60

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Solution

The fourth proportional to 393,185,649.60, 589,026,448.80 and 211,372,401.60 is: 316,654,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,185,649.60 : 589,026,448.80 = 211,372,401.60 : x
  2. Step 2: Convert to fraction form
    393,185,649.60/589,026,448.80 = 211,372,401.60/x
  3. Step 3: Cross multiply
    393,185,649.60x = 589,026,448.80 × 211,372,401.60
  4. Step 4: Simplify right side
    393,185,649.60x = 124,503,935,088,775,424
  5. Step 5: Solve for x
    x = 124,503,935,088,775,424/393,185,649.60
  6. Step 6: Final answer
    x = 316,654,321.48

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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.