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Finding the Fourth Proportional to 9,180,413,124.30, 12,877,067,175.30 and 9,180,413,124.30

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Solution

The fourth proportional to 9,180,413,124.30, 12,877,067,175.30 and 9,180,413,124.30 is: 12,877,067,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180,413,124.30 : 12,877,067,175.30 = 9,180,413,124.30 : x
  2. Step 2: Convert to fraction form
    9,180,413,124.30/12,877,067,175.30 = 9,180,413,124.30/x
  3. Step 3: Cross multiply
    9,180,413,124.30x = 12,877,067,175.30 × 9,180,413,124.30
  4. Step 4: Simplify right side
    9,180,413,124.30x = 118,216,796,498,616,827,904
  5. Step 5: Solve for x
    x = 118,216,796,498,616,827,904/9,180,413,124.30
  6. Step 6: Final answer
    x = 12,877,067,175.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.