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Finding the Fourth Proportional to 854,326,797.63, 1,287,893,546.16 and 797,377,118.72

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Solution

The fourth proportional to 854,326,797.63, 1,287,893,546.16 and 797,377,118.72 is: 1,202,042,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,326,797.63 : 1,287,893,546.16 = 797,377,118.72 : x
  2. Step 2: Convert to fraction form
    854,326,797.63/1,287,893,546.16 = 797,377,118.72/x
  3. Step 3: Cross multiply
    854,326,797.63x = 1,287,893,546.16 × 797,377,118.72
  4. Step 4: Simplify right side
    854,326,797.63x = 1,026,936,845,048,704,768
  5. Step 5: Solve for x
    x = 1,026,936,845,048,704,768/854,326,797.63
  6. Step 6: Final answer
    x = 1,202,042,178.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.