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Finding the Fourth Proportional to 1,406,291,959.02, 1,940,504,532.61 and 771,045,286.97

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Solution

The fourth proportional to 1,406,291,959.02, 1,940,504,532.61 and 771,045,286.97 is: 1,063,944,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,291,959.02 : 1,940,504,532.61 = 771,045,286.97 : x
  2. Step 2: Convert to fraction form
    1,406,291,959.02/1,940,504,532.61 = 771,045,286.97/x
  3. Step 3: Cross multiply
    1,406,291,959.02x = 1,940,504,532.61 × 771,045,286.97
  4. Step 4: Simplify right side
    1,406,291,959.02x = 1,496,216,874,212,863,232
  5. Step 5: Solve for x
    x = 1,496,216,874,212,863,232/1,406,291,959.02
  6. Step 6: Final answer
    x = 1,063,944,698.41

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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.