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Finding the Fourth Proportional to 135,720,461.60, 189,605,538.40 and 135,720,461.60

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Solution

The fourth proportional to 135,720,461.60, 189,605,538.40 and 135,720,461.60 is: 189,605,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720,461.60 : 189,605,538.40 = 135,720,461.60 : x
  2. Step 2: Convert to fraction form
    135,720,461.60/189,605,538.40 = 135,720,461.60/x
  3. Step 3: Cross multiply
    135,720,461.60x = 189,605,538.40 × 135,720,461.60
  4. Step 4: Simplify right side
    135,720,461.60x = 25,733,351,193,564,524
  5. Step 5: Solve for x
    x = 25,733,351,193,564,524/135,720,461.60
  6. Step 6: Final answer
    x = 189,605,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.