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Finding the Fourth Proportional to 2,978,210,407.70, 4,467,315,611.55 and 797,176,543.70

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Solution

The fourth proportional to 2,978,210,407.70, 4,467,315,611.55 and 797,176,543.70 is: 1,195,764,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,210,407.70 : 4,467,315,611.55 = 797,176,543.70 : x
  2. Step 2: Convert to fraction form
    2,978,210,407.70/4,467,315,611.55 = 797,176,543.70/x
  3. Step 3: Cross multiply
    2,978,210,407.70x = 4,467,315,611.55 × 797,176,543.70
  4. Step 4: Simplify right side
    2,978,210,407.70x = 3,561,239,218,832,481,280
  5. Step 5: Solve for x
    x = 3,561,239,218,832,481,280/2,978,210,407.70
  6. Step 6: Final answer
    x = 1,195,764,815.55

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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.