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Finding the Fourth Proportional to 969,643,934.50, 1,454,670,173.49 and 314,543,809.30

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Solution

The fourth proportional to 969,643,934.50, 1,454,670,173.49 and 314,543,809.30 is: 471,881,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,643,934.50 : 1,454,670,173.49 = 314,543,809.30 : x
  2. Step 2: Convert to fraction form
    969,643,934.50/1,454,670,173.49 = 314,543,809.30/x
  3. Step 3: Cross multiply
    969,643,934.50x = 1,454,670,173.49 × 314,543,809.30
  4. Step 4: Simplify right side
    969,643,934.50x = 457,557,497,644,636,480
  5. Step 5: Solve for x
    x = 457,557,497,644,636,480/969,643,934.50
  6. Step 6: Final answer
    x = 471,881,977.87

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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.