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Finding the Fourth Proportional to 295,930,801.40, 443,896,202.10 and 159,881,905.40

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Solution

The fourth proportional to 295,930,801.40, 443,896,202.10 and 159,881,905.40 is: 239,822,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,930,801.40 : 443,896,202.10 = 159,881,905.40 : x
  2. Step 2: Convert to fraction form
    295,930,801.40/443,896,202.10 = 159,881,905.40/x
  3. Step 3: Cross multiply
    295,930,801.40x = 443,896,202.10 × 159,881,905.40
  4. Step 4: Simplify right side
    295,930,801.40x = 70,970,970,591,571,488
  5. Step 5: Solve for x
    x = 70,970,970,591,571,488/295,930,801.40
  6. Step 6: Final answer
    x = 239,822,858.10

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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.