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Finding the Fourth Proportional to 241,985,466.80, 362,978,200.20 and 199,470,186.80

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Solution

The fourth proportional to 241,985,466.80, 362,978,200.20 and 199,470,186.80 is: 299,205,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,985,466.80 : 362,978,200.20 = 199,470,186.80 : x
  2. Step 2: Convert to fraction form
    241,985,466.80/362,978,200.20 = 199,470,186.80/x
  3. Step 3: Cross multiply
    241,985,466.80x = 362,978,200.20 × 199,470,186.80
  4. Step 4: Simplify right side
    241,985,466.80x = 72,403,329,398,221,792
  5. Step 5: Solve for x
    x = 72,403,329,398,221,792/241,985,466.80
  6. Step 6: Final answer
    x = 299,205,280.20

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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.