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Finding the Fourth Proportional to 268,641,159.30, 402,289,892.55 and 214,893,447.30

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Solution

The fourth proportional to 268,641,159.30, 402,289,892.55 and 214,893,447.30 is: 321,802,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,641,159.30 : 402,289,892.55 = 214,893,447.30 : x
  2. Step 2: Convert to fraction form
    268,641,159.30/402,289,892.55 = 214,893,447.30/x
  3. Step 3: Cross multiply
    268,641,159.30x = 402,289,892.55 × 214,893,447.30
  4. Step 4: Simplify right side
    268,641,159.30x = 86,449,461,824,016,096
  5. Step 5: Solve for x
    x = 86,449,461,824,016,096/268,641,159.30
  6. Step 6: Final answer
    x = 321,802,742.55

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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.