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Finding the Fourth Proportional to 561,893,297.67, 842,456,866.08 and 285,010,605.42

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Solution

The fourth proportional to 561,893,297.67, 842,456,866.08 and 285,010,605.42 is: 427,321,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,893,297.67 : 842,456,866.08 = 285,010,605.42 : x
  2. Step 2: Convert to fraction form
    561,893,297.67/842,456,866.08 = 285,010,605.42/x
  3. Step 3: Cross multiply
    561,893,297.67x = 842,456,866.08 × 285,010,605.42
  4. Step 4: Simplify right side
    561,893,297.67x = 240,109,141,441,696,704
  5. Step 5: Solve for x
    x = 240,109,141,441,696,704/561,893,297.67
  6. Step 6: Final answer
    x = 427,321,597.25

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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.