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Finding the Fourth Proportional to 106,229,072.40, 159,091,666.20 and 106,229,072.40

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Solution

The fourth proportional to 106,229,072.40, 159,091,666.20 and 106,229,072.40 is: 159,091,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,229,072.40 : 159,091,666.20 = 106,229,072.40 : x
  2. Step 2: Convert to fraction form
    106,229,072.40/159,091,666.20 = 106,229,072.40/x
  3. Step 3: Cross multiply
    106,229,072.40x = 159,091,666.20 × 106,229,072.40
  4. Step 4: Simplify right side
    106,229,072.40x = 16,900,160,126,996,432
  5. Step 5: Solve for x
    x = 16,900,160,126,996,432/106,229,072.40
  6. Step 6: Final answer
    x = 159,091,666.20

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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.