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Finding the Fourth Proportional to 209,952,230.70, 314,928,346.05 and 202,299,480.30

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Solution

The fourth proportional to 209,952,230.70, 314,928,346.05 and 202,299,480.30 is: 303,449,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,230.70 : 314,928,346.05 = 202,299,480.30 : x
  2. Step 2: Convert to fraction form
    209,952,230.70/314,928,346.05 = 202,299,480.30/x
  3. Step 3: Cross multiply
    209,952,230.70x = 314,928,346.05 × 202,299,480.30
  4. Step 4: Simplify right side
    209,952,230.70x = 63,709,840,737,653,560
  5. Step 5: Solve for x
    x = 63,709,840,737,653,560/209,952,230.70
  6. Step 6: Final answer
    x = 303,449,220.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.