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Finding the Fourth Proportional to 1,584,206,866,979.70, 2,376,310,300,469.50 and 1,584,206,866,979.70

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Solution

The fourth proportional to 1,584,206,866,979.70, 2,376,310,300,469.50 and 1,584,206,866,979.70 is: 2,376,310,300,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,206,866,979.70 : 2,376,310,300,469.50 = 1,584,206,866,979.70 : x
  2. Step 2: Convert to fraction form
    1,584,206,866,979.70/2,376,310,300,469.50 = 1,584,206,866,979.70/x
  3. Step 3: Cross multiply
    1,584,206,866,979.70x = 2,376,310,300,469.50 × 1,584,206,866,979.70
  4. Step 4: Simplify right side
    1,584,206,866,979.70x = 3,764,567,096,078,375,881,539,584
  5. Step 5: Solve for x
    x = 3,764,567,096,078,375,881,539,584/1,584,206,866,979.70
  6. Step 6: Final answer
    x = 2,376,310,300,469.50

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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.