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Finding the Fourth Proportional to 106,210,898.70, 159,032,912.85 and 106,210,898.70

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Solution

The fourth proportional to 106,210,898.70, 159,032,912.85 and 106,210,898.70 is: 159,032,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,210,898.70 : 159,032,912.85 = 106,210,898.70 : x
  2. Step 2: Convert to fraction form
    106,210,898.70/159,032,912.85 = 106,210,898.70/x
  3. Step 3: Cross multiply
    106,210,898.70x = 159,032,912.85 × 106,210,898.70
  4. Step 4: Simplify right side
    106,210,898.70x = 16,891,028,596,677,278
  5. Step 5: Solve for x
    x = 16,891,028,596,677,278/106,210,898.70
  6. Step 6: Final answer
    x = 159,032,912.85

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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.