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Finding the Fourth Proportional to 146,645,107.80, 205,877,107.20 and 146,645,107.80

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Solution

The fourth proportional to 146,645,107.80, 205,877,107.20 and 146,645,107.80 is: 205,877,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,645,107.80 : 205,877,107.20 = 146,645,107.80 : x
  2. Step 2: Convert to fraction form
    146,645,107.80/205,877,107.20 = 146,645,107.80/x
  3. Step 3: Cross multiply
    146,645,107.80x = 205,877,107.20 × 146,645,107.80
  4. Step 4: Simplify right side
    146,645,107.80x = 30,190,870,578,896,156
  5. Step 5: Solve for x
    x = 30,190,870,578,896,156/146,645,107.80
  6. Step 6: Final answer
    x = 205,877,107.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.