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Finding the Fourth Proportional to 266,304,326.40, 399,456,489.60 and 185,616,403.20

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Solution

The fourth proportional to 266,304,326.40, 399,456,489.60 and 185,616,403.20 is: 278,424,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,304,326.40 : 399,456,489.60 = 185,616,403.20 : x
  2. Step 2: Convert to fraction form
    266,304,326.40/399,456,489.60 = 185,616,403.20/x
  3. Step 3: Cross multiply
    266,304,326.40x = 399,456,489.60 × 185,616,403.20
  4. Step 4: Simplify right side
    266,304,326.40x = 74,145,676,834,450,208
  5. Step 5: Solve for x
    x = 74,145,676,834,450,208/266,304,326.40
  6. Step 6: Final answer
    x = 278,424,604.80

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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.