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Finding the Fourth Proportional to 209,952,168.15, 314,928,252.33 and 209,952,168.15

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Solution

The fourth proportional to 209,952,168.15, 314,928,252.33 and 209,952,168.15 is: 314,928,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,168.15 : 314,928,252.33 = 209,952,168.15 : x
  2. Step 2: Convert to fraction form
    209,952,168.15/314,928,252.33 = 209,952,168.15/x
  3. Step 3: Cross multiply
    209,952,168.15x = 314,928,252.33 × 209,952,168.15
  4. Step 4: Simplify right side
    209,952,168.15x = 66,119,869,388,373,784
  5. Step 5: Solve for x
    x = 66,119,869,388,373,784/209,952,168.15
  6. Step 6: Final answer
    x = 314,928,252.33

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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.