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Finding the Fourth Proportional to 2,940,804,946.15, 4,127,458,137.65 and 2,940,804,946.15

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Solution

The fourth proportional to 2,940,804,946.15, 4,127,458,137.65 and 2,940,804,946.15 is: 4,127,458,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,804,946.15 : 4,127,458,137.65 = 2,940,804,946.15 : x
  2. Step 2: Convert to fraction form
    2,940,804,946.15/4,127,458,137.65 = 2,940,804,946.15/x
  3. Step 3: Cross multiply
    2,940,804,946.15x = 4,127,458,137.65 × 2,940,804,946.15
  4. Step 4: Simplify right side
    2,940,804,946.15x = 12,138,049,306,228,189,184
  5. Step 5: Solve for x
    x = 12,138,049,306,228,189,184/2,940,804,946.15
  6. Step 6: Final answer
    x = 4,127,458,137.65

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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.