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Finding the Fourth Proportional to 133,713,646.30, 200,570,469.45 and 133,713,646.30

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Solution

The fourth proportional to 133,713,646.30, 200,570,469.45 and 133,713,646.30 is: 200,570,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713,646.30 : 200,570,469.45 = 133,713,646.30 : x
  2. Step 2: Convert to fraction form
    133,713,646.30/200,570,469.45 = 133,713,646.30/x
  3. Step 3: Cross multiply
    133,713,646.30x = 200,570,469.45 × 133,713,646.30
  4. Step 4: Simplify right side
    133,713,646.30x = 26,819,008,810,262,252
  5. Step 5: Solve for x
    x = 26,819,008,810,262,252/133,713,646.30
  6. Step 6: Final answer
    x = 200,570,469.45

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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.