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Finding the Fourth Proportional to 2,940,804,952.65, 4,127,458,146.75 and 2,940,804,952.65

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Solution

The fourth proportional to 2,940,804,952.65, 4,127,458,146.75 and 2,940,804,952.65 is: 4,127,458,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,804,952.65 : 4,127,458,146.75 = 2,940,804,952.65 : x
  2. Step 2: Convert to fraction form
    2,940,804,952.65/4,127,458,146.75 = 2,940,804,952.65/x
  3. Step 3: Cross multiply
    2,940,804,952.65x = 4,127,458,146.75 × 2,940,804,952.65
  4. Step 4: Simplify right side
    2,940,804,952.65x = 12,138,049,359,817,990,144
  5. Step 5: Solve for x
    x = 12,138,049,359,817,990,144/2,940,804,952.65
  6. Step 6: Final answer
    x = 4,127,458,146.75

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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.