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Finding the Fourth Proportional to 213,093,548.80, 319,640,323.20 and 144,218,795.20

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Solution

The fourth proportional to 213,093,548.80, 319,640,323.20 and 144,218,795.20 is: 216,328,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093,548.80 : 319,640,323.20 = 144,218,795.20 : x
  2. Step 2: Convert to fraction form
    213,093,548.80/319,640,323.20 = 144,218,795.20/x
  3. Step 3: Cross multiply
    213,093,548.80x = 319,640,323.20 × 144,218,795.20
  4. Step 4: Simplify right side
    213,093,548.80x = 46,098,142,309,242,600
  5. Step 5: Solve for x
    x = 46,098,142,309,242,600/213,093,548.80
  6. Step 6: Final answer
    x = 216,328,192.80

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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.