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Finding the Fourth Proportional to 106,377,672.80, 159,566,509.20 and 106,377,672.80

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Solution

The fourth proportional to 106,377,672.80, 159,566,509.20 and 106,377,672.80 is: 159,566,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377,672.80 : 159,566,509.20 = 106,377,672.80 : x
  2. Step 2: Convert to fraction form
    106,377,672.80/159,566,509.20 = 106,377,672.80/x
  3. Step 3: Cross multiply
    106,377,672.80x = 159,566,509.20 × 106,377,672.80
  4. Step 4: Simplify right side
    106,377,672.80x = 16,974,313,905,515,788
  5. Step 5: Solve for x
    x = 16,974,313,905,515,788/106,377,672.80
  6. Step 6: Final answer
    x = 159,566,509.20

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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.