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Finding the Fourth Proportional to 290,400,253.60, 435,217,801.20 and 213,361,866.40

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Solution

The fourth proportional to 290,400,253.60, 435,217,801.20 and 213,361,866.40 is: 319,761,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,400,253.60 : 435,217,801.20 = 213,361,866.40 : x
  2. Step 2: Convert to fraction form
    290,400,253.60/435,217,801.20 = 213,361,866.40/x
  3. Step 3: Cross multiply
    290,400,253.60x = 435,217,801.20 × 213,361,866.40
  4. Step 4: Simplify right side
    290,400,253.60x = 92,858,882,354,536,160
  5. Step 5: Solve for x
    x = 92,858,882,354,536,160/290,400,253.60
  6. Step 6: Final answer
    x = 319,761,712.34

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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.