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Finding the Fourth Proportional to 647,336,448,138.60, 969,698,602,806.30 and 647,336,448,138.60

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Solution

The fourth proportional to 647,336,448,138.60, 969,698,602,806.30 and 647,336,448,138.60 is: 969,698,602,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,336,448,138.60 : 969,698,602,806.30 = 647,336,448,138.60 : x
  2. Step 2: Convert to fraction form
    647,336,448,138.60/969,698,602,806.30 = 647,336,448,138.60/x
  3. Step 3: Cross multiply
    647,336,448,138.60x = 969,698,602,806.30 × 647,336,448,138.60
  4. Step 4: Simplify right side
    647,336,448,138.60x = 627,721,249,305,593,372,475,392
  5. Step 5: Solve for x
    x = 627,721,249,305,593,372,475,392/647,336,448,138.60
  6. Step 6: Final answer
    x = 969,698,602,806.30

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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.