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Finding the Fourth Proportional to 106,285,920.40, 159,176,938.20 and 106,285,920.40

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Solution

The fourth proportional to 106,285,920.40, 159,176,938.20 and 106,285,920.40 is: 159,176,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,285,920.40 : 159,176,938.20 = 106,285,920.40 : x
  2. Step 2: Convert to fraction form
    106,285,920.40/159,176,938.20 = 106,285,920.40/x
  3. Step 3: Cross multiply
    106,285,920.40x = 159,176,938.20 × 106,285,920.40
  4. Step 4: Simplify right side
    106,285,920.40x = 16,918,267,383,040,918
  5. Step 5: Solve for x
    x = 16,918,267,383,040,918/106,285,920.40
  6. Step 6: Final answer
    x = 159,176,938.20

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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.