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Finding the Fourth Proportional to 474,761,203.20, 712,141,804.80 and 147,236,083.20

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Solution

The fourth proportional to 474,761,203.20, 712,141,804.80 and 147,236,083.20 is: 220,854,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,203.20 : 712,141,804.80 = 147,236,083.20 : x
  2. Step 2: Convert to fraction form
    474,761,203.20/712,141,804.80 = 147,236,083.20/x
  3. Step 3: Cross multiply
    474,761,203.20x = 712,141,804.80 × 147,236,083.20
  4. Step 4: Simplify right side
    474,761,203.20x = 104,852,970,021,730,944
  5. Step 5: Solve for x
    x = 104,852,970,021,730,944/474,761,203.20
  6. Step 6: Final answer
    x = 220,854,124.80

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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.