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Finding the Fourth Proportional to 272,394,525,271.60, 408,591,787,907.40 and 272,394,525,271.60

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Solution

The fourth proportional to 272,394,525,271.60, 408,591,787,907.40 and 272,394,525,271.60 is: 408,591,787,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,394,525,271.60 : 408,591,787,907.40 = 272,394,525,271.60 : x
  2. Step 2: Convert to fraction form
    272,394,525,271.60/408,591,787,907.40 = 272,394,525,271.60/x
  3. Step 3: Cross multiply
    272,394,525,271.60x = 408,591,787,907.40 × 272,394,525,271.60
  4. Step 4: Simplify right side
    272,394,525,271.60x = 111,298,166,096,910,509,670,400
  5. Step 5: Solve for x
    x = 111,298,166,096,910,509,670,400/272,394,525,271.60
  6. Step 6: Final answer
    x = 408,591,787,907.40

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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.