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Finding the Fourth Proportional to 209,968,294.30, 314,952,441.45 and 133,346,311.90

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Solution

The fourth proportional to 209,968,294.30, 314,952,441.45 and 133,346,311.90 is: 200,019,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,294.30 : 314,952,441.45 = 133,346,311.90 : x
  2. Step 2: Convert to fraction form
    209,968,294.30/314,952,441.45 = 133,346,311.90/x
  3. Step 3: Cross multiply
    209,968,294.30x = 314,952,441.45 × 133,346,311.90
  4. Step 4: Simplify right side
    209,968,294.30x = 41,997,746,491,258,192
  5. Step 5: Solve for x
    x = 41,997,746,491,258,192/209,968,294.30
  6. Step 6: Final answer
    x = 200,019,467.85

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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.