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Finding the Fourth Proportional to 312,984,418,627.05, 469,476,627,940.57 and 312,984,418,627.05

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Solution

The fourth proportional to 312,984,418,627.05, 469,476,627,940.57 and 312,984,418,627.05 is: 469,476,627,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,418,627.05 : 469,476,627,940.57 = 312,984,418,627.05 : x
  2. Step 2: Convert to fraction form
    312,984,418,627.05/469,476,627,940.57 = 312,984,418,627.05/x
  3. Step 3: Cross multiply
    312,984,418,627.05x = 469,476,627,940.57 × 312,984,418,627.05
  4. Step 4: Simplify right side
    312,984,418,627.05x = 146,938,869,454,967,152,836,608
  5. Step 5: Solve for x
    x = 146,938,869,454,967,152,836,608/312,984,418,627.05
  6. Step 6: Final answer
    x = 469,476,627,940.57

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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.