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Finding the Fourth Proportional to 268,646,980.30, 402,298,624.05 and 214,899,268.30

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Solution

The fourth proportional to 268,646,980.30, 402,298,624.05 and 214,899,268.30 is: 321,811,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,646,980.30 : 402,298,624.05 = 214,899,268.30 : x
  2. Step 2: Convert to fraction form
    268,646,980.30/402,298,624.05 = 214,899,268.30/x
  3. Step 3: Cross multiply
    268,646,980.30x = 402,298,624.05 × 214,899,268.30
  4. Step 4: Simplify right side
    268,646,980.30x = 86,453,679,946,441,792
  5. Step 5: Solve for x
    x = 86,453,679,946,441,792/268,646,980.30
  6. Step 6: Final answer
    x = 321,811,471.14

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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.