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Finding the Fourth Proportional to 416,099,710, 573,999,898.04 and 257,279,064

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Solution

The fourth proportional to 416,099,710, 573,999,898.04 and 257,279,064 is: 354,910,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,099,710 : 573,999,898.04 = 257,279,064 : x
  2. Step 2: Convert to fraction form
    416,099,710/573,999,898.04 = 257,279,064/x
  3. Step 3: Cross multiply
    416,099,710x = 573,999,898.04 × 257,279,064
  4. Step 4: Simplify right side
    416,099,710x = 147,678,156,503,826,624
  5. Step 5: Solve for x
    x = 147,678,156,503,826,624/416,099,710
  6. Step 6: Final answer
    x = 354,910,500.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.