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Finding the Fourth Proportional to 1,255,846,611, 1,733,068,323.18 and 699,061,189.74

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Solution

The fourth proportional to 1,255,846,611, 1,733,068,323.18 and 699,061,189.74 is: 964,704,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,846,611 : 1,733,068,323.18 = 699,061,189.74 : x
  2. Step 2: Convert to fraction form
    1,255,846,611/1,733,068,323.18 = 699,061,189.74/x
  3. Step 3: Cross multiply
    1,255,846,611x = 1,733,068,323.18 × 699,061,189.74
  4. Step 4: Simplify right side
    1,255,846,611x = 1,211,520,803,902,917,632
  5. Step 5: Solve for x
    x = 1,211,520,803,902,917,632/1,255,846,611
  6. Step 6: Final answer
    x = 964,704,441.84

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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.