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Finding the Fourth Proportional to 314,604,326.40, 471,906,489.60 and 200,096,505.60

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Solution

The fourth proportional to 314,604,326.40, 471,906,489.60 and 200,096,505.60 is: 300,144,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,326.40 : 471,906,489.60 = 200,096,505.60 : x
  2. Step 2: Convert to fraction form
    314,604,326.40/471,906,489.60 = 200,096,505.60/x
  3. Step 3: Cross multiply
    314,604,326.40x = 471,906,489.60 × 200,096,505.60
  4. Step 4: Simplify right side
    314,604,326.40x = 94,426,839,538,922,736
  5. Step 5: Solve for x
    x = 94,426,839,538,922,736/314,604,326.40
  6. Step 6: Final answer
    x = 300,144,758.40

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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.