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Finding the Fourth Proportional to 874,940,893.92, 1,312,541,840.88 and 322,200,822.24

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Solution

The fourth proportional to 874,940,893.92, 1,312,541,840.88 and 322,200,822.24 is: 483,349,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,940,893.92 : 1,312,541,840.88 = 322,200,822.24 : x
  2. Step 2: Convert to fraction form
    874,940,893.92/1,312,541,840.88 = 322,200,822.24/x
  3. Step 3: Cross multiply
    874,940,893.92x = 1,312,541,840.88 × 322,200,822.24
  4. Step 4: Simplify right side
    874,940,893.92x = 422,902,060,355,939,264
  5. Step 5: Solve for x
    x = 422,902,060,355,939,264/874,940,893.92
  6. Step 6: Final answer
    x = 483,349,290.56

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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.