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Finding the Fourth Proportional to 209,952,768.40, 314,929,152.60 and 201,449,712.40

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Solution

The fourth proportional to 209,952,768.40, 314,929,152.60 and 201,449,712.40 is: 302,174,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,768.40 : 314,929,152.60 = 201,449,712.40 : x
  2. Step 2: Convert to fraction form
    209,952,768.40/314,929,152.60 = 201,449,712.40/x
  3. Step 3: Cross multiply
    209,952,768.40x = 314,929,152.60 × 201,449,712.40
  4. Step 4: Simplify right side
    209,952,768.40x = 63,442,387,217,645,720
  5. Step 5: Solve for x
    x = 63,442,387,217,645,720/209,952,768.40
  6. Step 6: Final answer
    x = 302,174,568.60

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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.