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Finding the Fourth Proportional to 1,696,553,933.80, 2,544,830,900.70 and 469,722,385.30

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Solution

The fourth proportional to 1,696,553,933.80, 2,544,830,900.70 and 469,722,385.30 is: 704,583,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,553,933.80 : 2,544,830,900.70 = 469,722,385.30 : x
  2. Step 2: Convert to fraction form
    1,696,553,933.80/2,544,830,900.70 = 469,722,385.30/x
  3. Step 3: Cross multiply
    1,696,553,933.80x = 2,544,830,900.70 × 469,722,385.30
  4. Step 4: Simplify right side
    1,696,553,933.80x = 1,195,364,040,861,951,488
  5. Step 5: Solve for x
    x = 1,195,364,040,861,951,488/1,696,553,933.80
  6. Step 6: Final answer
    x = 704,583,577.95

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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.