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Finding the Fourth Proportional to 969,643,691.84, 1,454,669,809.13 and 314,543,566.37

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Solution

The fourth proportional to 969,643,691.84, 1,454,669,809.13 and 314,543,566.37 is: 471,881,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,643,691.84 : 1,454,669,809.13 = 314,543,566.37 : x
  2. Step 2: Convert to fraction form
    969,643,691.84/1,454,669,809.13 = 314,543,566.37/x
  3. Step 3: Cross multiply
    969,643,691.84x = 1,454,669,809.13 × 314,543,566.37
  4. Step 4: Simplify right side
    969,643,691.84x = 457,557,029,658,940,416
  5. Step 5: Solve for x
    x = 457,557,029,658,940,416/969,643,691.84
  6. Step 6: Final answer
    x = 471,881,613.33

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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.