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Finding the Fourth Proportional to 133,687,009,261.40, 200,530,513,892.10 and 133,687,009,261.40

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Solution

The fourth proportional to 133,687,009,261.40, 200,530,513,892.10 and 133,687,009,261.40 is: 200,530,513,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687,009,261.40 : 200,530,513,892.10 = 133,687,009,261.40 : x
  2. Step 2: Convert to fraction form
    133,687,009,261.40/200,530,513,892.10 = 133,687,009,261.40/x
  3. Step 3: Cross multiply
    133,687,009,261.40x = 200,530,513,892.10 × 133,687,009,261.40
  4. Step 4: Simplify right side
    133,687,009,261.40x = 26,808,324,667,886,471,741,440
  5. Step 5: Solve for x
    x = 26,808,324,667,886,471,741,440/133,687,009,261.40
  6. Step 6: Final answer
    x = 200,530,513,892.10

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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.