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Finding the Fourth Proportional to 160,970,947.20, 241,456,420.80 and 39,802,399.20

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Solution

The fourth proportional to 160,970,947.20, 241,456,420.80 and 39,802,399.20 is: 59,703,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970,947.20 : 241,456,420.80 = 39,802,399.20 : x
  2. Step 2: Convert to fraction form
    160,970,947.20/241,456,420.80 = 39,802,399.20/x
  3. Step 3: Cross multiply
    160,970,947.20x = 241,456,420.80 × 39,802,399.20
  4. Step 4: Simplify right side
    160,970,947.20x = 9,610,544,850,084,784
  5. Step 5: Solve for x
    x = 9,610,544,850,084,784/160,970,947.20
  6. Step 6: Final answer
    x = 59,703,598.80

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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.