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Finding the Fourth Proportional to 652,261,335.90, 978,392,003.85 and 221,439,831.90

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Solution

The fourth proportional to 652,261,335.90, 978,392,003.85 and 221,439,831.90 is: 332,159,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,261,335.90 : 978,392,003.85 = 221,439,831.90 : x
  2. Step 2: Convert to fraction form
    652,261,335.90/978,392,003.85 = 221,439,831.90/x
  3. Step 3: Cross multiply
    652,261,335.90x = 978,392,003.85 × 221,439,831.90
  4. Step 4: Simplify right side
    652,261,335.90x = 216,654,960,864,848,160
  5. Step 5: Solve for x
    x = 216,654,960,864,848,160/652,261,335.90
  6. Step 6: Final answer
    x = 332,159,747.85

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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.