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Finding the Fourth Proportional to 1,400,290,957.86, 1,932,511,677.93 and 797,487,069.41

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Solution

The fourth proportional to 1,400,290,957.86, 1,932,511,677.93 and 797,487,069.41 is: 1,100,594,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,290,957.86 : 1,932,511,677.93 = 797,487,069.41 : x
  2. Step 2: Convert to fraction form
    1,400,290,957.86/1,932,511,677.93 = 797,487,069.41/x
  3. Step 3: Cross multiply
    1,400,290,957.86x = 1,932,511,677.93 × 797,487,069.41
  4. Step 4: Simplify right side
    1,400,290,957.86x = 1,541,153,074,630,582,016
  5. Step 5: Solve for x
    x = 1,541,153,074,630,582,016/1,400,290,957.86
  6. Step 6: Final answer
    x = 1,100,594,891.36

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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.