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Finding the Fourth Proportional to 1,229,129,965.65, 1,843,694,948.48 and 1,229,129,965.65

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Solution

The fourth proportional to 1,229,129,965.65, 1,843,694,948.48 and 1,229,129,965.65 is: 1,843,694,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,129,965.65 : 1,843,694,948.48 = 1,229,129,965.65 : x
  2. Step 2: Convert to fraction form
    1,229,129,965.65/1,843,694,948.48 = 1,229,129,965.65/x
  3. Step 3: Cross multiply
    1,229,129,965.65x = 1,843,694,948.48 × 1,229,129,965.65
  4. Step 4: Simplify right side
    1,229,129,965.65x = 2,266,140,708,688,155,392
  5. Step 5: Solve for x
    x = 2,266,140,708,688,155,392/1,229,129,965.65
  6. Step 6: Final answer
    x = 1,843,694,948.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.