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Finding the Fourth Proportional to 106,286,808.20, 159,146,777.10 and 106,286,808.20

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Solution

The fourth proportional to 106,286,808.20, 159,146,777.10 and 106,286,808.20 is: 159,146,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,286,808.20 : 159,146,777.10 = 106,286,808.20 : x
  2. Step 2: Convert to fraction form
    106,286,808.20/159,146,777.10 = 106,286,808.20/x
  3. Step 3: Cross multiply
    106,286,808.20x = 159,146,777.10 × 106,286,808.20
  4. Step 4: Simplify right side
    106,286,808.20x = 16,915,202,973,275,852
  5. Step 5: Solve for x
    x = 16,915,202,973,275,852/106,286,808.20
  6. Step 6: Final answer
    x = 159,146,777.10

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1.5x scale

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.