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Finding the Fourth Proportional to 709,869,959.12, 979,452,593.16 and 412,335,434

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Solution

The fourth proportional to 709,869,959.12, 979,452,593.16 and 412,335,434 is: 568,925,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,869,959.12 : 979,452,593.16 = 412,335,434 : x
  2. Step 2: Convert to fraction form
    709,869,959.12/979,452,593.16 = 412,335,434/x
  3. Step 3: Cross multiply
    709,869,959.12x = 979,452,593.16 × 412,335,434
  4. Step 4: Simplify right side
    709,869,959.12x = 403,863,010,083,054,016
  5. Step 5: Solve for x
    x = 403,863,010,083,054,016/709,869,959.12
  6. Step 6: Final answer
    x = 568,925,343.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.