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Finding the Fourth Proportional to 1,584,207,796,211.70, 2,376,311,694,317.50 and 1,584,207,796,211.70

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Solution

The fourth proportional to 1,584,207,796,211.70, 2,376,311,694,317.50 and 1,584,207,796,211.70 is: 2,376,311,694,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,207,796,211.70 : 2,376,311,694,317.50 = 1,584,207,796,211.70 : x
  2. Step 2: Convert to fraction form
    1,584,207,796,211.70/2,376,311,694,317.50 = 1,584,207,796,211.70/x
  3. Step 3: Cross multiply
    1,584,207,796,211.70x = 2,376,311,694,317.50 × 1,584,207,796,211.70
  4. Step 4: Simplify right side
    1,584,207,796,211.70x = 3,764,571,512,366,817,293,107,200
  5. Step 5: Solve for x
    x = 3,764,571,512,366,817,293,107,200/1,584,207,796,211.70
  6. Step 6: Final answer
    x = 2,376,311,694,317.50

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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.