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Finding the Fourth Proportional to 930,888,978.10, 1,396,333,467.15 and 317,493,214.90

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Solution

The fourth proportional to 930,888,978.10, 1,396,333,467.15 and 317,493,214.90 is: 476,239,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,888,978.10 : 1,396,333,467.15 = 317,493,214.90 : x
  2. Step 2: Convert to fraction form
    930,888,978.10/1,396,333,467.15 = 317,493,214.90/x
  3. Step 3: Cross multiply
    930,888,978.10x = 1,396,333,467.15 × 317,493,214.90
  4. Step 4: Simplify right side
    930,888,978.10x = 443,326,401,557,917,056
  5. Step 5: Solve for x
    x = 443,326,401,557,917,056/930,888,978.10
  6. Step 6: Final answer
    x = 476,239,822.35

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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.