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Finding the Fourth Proportional to 1,696,553,385.80, 2,544,830,078.70 and 469,721,837.30

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Solution

The fourth proportional to 1,696,553,385.80, 2,544,830,078.70 and 469,721,837.30 is: 704,582,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,553,385.80 : 2,544,830,078.70 = 469,721,837.30 : x
  2. Step 2: Convert to fraction form
    1,696,553,385.80/2,544,830,078.70 = 469,721,837.30/x
  3. Step 3: Cross multiply
    1,696,553,385.80x = 2,544,830,078.70 × 469,721,837.30
  4. Step 4: Simplify right side
    1,696,553,385.80x = 1,195,362,260,183,267,584
  5. Step 5: Solve for x
    x = 1,195,362,260,183,267,584/1,696,553,385.80
  6. Step 6: Final answer
    x = 704,582,755.95

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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.