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Finding the Fourth Proportional to 268,641,005.80, 402,289,662.30 and 214,893,293.80

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Solution

The fourth proportional to 268,641,005.80, 402,289,662.30 and 214,893,293.80 is: 321,802,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,641,005.80 : 402,289,662.30 = 214,893,293.80 : x
  2. Step 2: Convert to fraction form
    268,641,005.80/402,289,662.30 = 214,893,293.80/x
  3. Step 3: Cross multiply
    268,641,005.80x = 402,289,662.30 × 214,893,293.80
  4. Step 4: Simplify right side
    268,641,005.80x = 86,449,350,593,336,688
  5. Step 5: Solve for x
    x = 86,449,350,593,336,688/268,641,005.80
  6. Step 6: Final answer
    x = 321,802,512.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.