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Finding the Fourth Proportional to 262,202,648.40, 392,968,049.40 and 233,313,253.20

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Solution

The fourth proportional to 262,202,648.40, 392,968,049.40 and 233,313,253.20 is: 349,670,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,202,648.40 : 392,968,049.40 = 233,313,253.20 : x
  2. Step 2: Convert to fraction form
    262,202,648.40/392,968,049.40 = 233,313,253.20/x
  3. Step 3: Cross multiply
    262,202,648.40x = 392,968,049.40 × 233,313,253.20
  4. Step 4: Simplify right side
    262,202,648.40x = 91,684,654,009,172,304
  5. Step 5: Solve for x
    x = 91,684,654,009,172,304/262,202,648.40
  6. Step 6: Final answer
    x = 349,670,968.50

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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.