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Finding the Fourth Proportional to 258,978,205.80, 388,405,100.70 and 149,566,775.40

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Solution

The fourth proportional to 258,978,205.80, 388,405,100.70 and 149,566,775.40 is: 224,314,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,205.80 : 388,405,100.70 = 149,566,775.40 : x
  2. Step 2: Convert to fraction form
    258,978,205.80/388,405,100.70 = 149,566,775.40/x
  3. Step 3: Cross multiply
    258,978,205.80x = 388,405,100.70 × 149,566,775.40
  4. Step 4: Simplify right side
    258,978,205.80x = 58,092,498,460,611,280
  5. Step 5: Solve for x
    x = 58,092,498,460,611,280/258,978,205.80
  6. Step 6: Final answer
    x = 224,314,236.33

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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.