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Finding the Fourth Proportional to 106,285,917.90, 159,176,934.45 and 106,285,917.90

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Solution

The fourth proportional to 106,285,917.90, 159,176,934.45 and 106,285,917.90 is: 159,176,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,285,917.90 : 159,176,934.45 = 106,285,917.90 : x
  2. Step 2: Convert to fraction form
    106,285,917.90/159,176,934.45 = 106,285,917.90/x
  3. Step 3: Cross multiply
    106,285,917.90x = 159,176,934.45 × 106,285,917.90
  4. Step 4: Simplify right side
    106,285,917.90x = 16,918,266,586,526,382
  5. Step 5: Solve for x
    x = 16,918,266,586,526,382/106,285,917.90
  6. Step 6: Final answer
    x = 159,176,934.45

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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.