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Finding the Fourth Proportional to 209,952,005.70, 314,928,008.56 and 202,299,255.30

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Solution

The fourth proportional to 209,952,005.70, 314,928,008.56 and 202,299,255.30 is: 303,448,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,005.70 : 314,928,008.56 = 202,299,255.30 : x
  2. Step 2: Convert to fraction form
    209,952,005.70/314,928,008.56 = 202,299,255.30/x
  3. Step 3: Cross multiply
    209,952,005.70x = 314,928,008.56 × 202,299,255.30
  4. Step 4: Simplify right side
    209,952,005.70x = 63,709,701,604,800,032
  5. Step 5: Solve for x
    x = 63,709,701,604,800,032/209,952,005.70
  6. Step 6: Final answer
    x = 303,448,882.96

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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.