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Finding the Fourth Proportional to 209,952,183.03, 314,928,274.55 and 209,952,183.03

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Solution

The fourth proportional to 209,952,183.03, 314,928,274.55 and 209,952,183.03 is: 314,928,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,183.03 : 314,928,274.55 = 209,952,183.03 : x
  2. Step 2: Convert to fraction form
    209,952,183.03/314,928,274.55 = 209,952,183.03/x
  3. Step 3: Cross multiply
    209,952,183.03x = 314,928,274.55 × 209,952,183.03
  4. Step 4: Simplify right side
    209,952,183.03x = 66,119,878,738,593,936
  5. Step 5: Solve for x
    x = 66,119,878,738,593,936/209,952,183.03
  6. Step 6: Final answer
    x = 314,928,274.55

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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.