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Finding the Fourth Proportional to 272,972,592,028.80, 408,907,890,014.40 and 272,972,592,028.80

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Solution

The fourth proportional to 272,972,592,028.80, 408,907,890,014.40 and 272,972,592,028.80 is: 408,907,890,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,972,592,028.80 : 408,907,890,014.40 = 272,972,592,028.80 : x
  2. Step 2: Convert to fraction form
    272,972,592,028.80/408,907,890,014.40 = 272,972,592,028.80/x
  3. Step 3: Cross multiply
    272,972,592,028.80x = 408,907,890,014.40 × 272,972,592,028.80
  4. Step 4: Simplify right side
    272,972,592,028.80x = 111,620,646,638,258,237,734,912
  5. Step 5: Solve for x
    x = 111,620,646,638,258,237,734,912/272,972,592,028.80
  6. Step 6: Final answer
    x = 408,907,890,014.40

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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.