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Finding the Fourth Proportional to 873,679,643.10, 1,310,519,464.65 and 735,930,135.90

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Solution

The fourth proportional to 873,679,643.10, 1,310,519,464.65 and 735,930,135.90 is: 1,103,895,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,679,643.10 : 1,310,519,464.65 = 735,930,135.90 : x
  2. Step 2: Convert to fraction form
    873,679,643.10/1,310,519,464.65 = 735,930,135.90/x
  3. Step 3: Cross multiply
    873,679,643.10x = 1,310,519,464.65 × 735,930,135.90
  4. Step 4: Simplify right side
    873,679,643.10x = 964,450,767,719,469,824
  5. Step 5: Solve for x
    x = 964,450,767,719,469,824/873,679,643.10
  6. Step 6: Final answer
    x = 1,103,895,203.85

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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.