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Finding the Fourth Proportional to 1,761,151,978.44, 2,641,728,458.61 and 517,582,374.84

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Solution

The fourth proportional to 1,761,151,978.44, 2,641,728,458.61 and 517,582,374.84 is: 776,373,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,151,978.44 : 2,641,728,458.61 = 517,582,374.84 : x
  2. Step 2: Convert to fraction form
    1,761,151,978.44/2,641,728,458.61 = 517,582,374.84/x
  3. Step 3: Cross multiply
    1,761,151,978.44x = 2,641,728,458.61 × 517,582,374.84
  4. Step 4: Simplify right side
    1,761,151,978.44x = 1,367,312,089,289,776,384
  5. Step 5: Solve for x
    x = 1,367,312,089,289,776,384/1,761,151,978.44
  6. Step 6: Final answer
    x = 776,373,706.54

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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.