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Finding the Fourth Proportional to 248,584,788,015.80, 372,877,182,023.70 and 248,584,788,015.80

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Solution

The fourth proportional to 248,584,788,015.80, 372,877,182,023.70 and 248,584,788,015.80 is: 372,877,182,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,584,788,015.80 : 372,877,182,023.70 = 248,584,788,015.80 : x
  2. Step 2: Convert to fraction form
    248,584,788,015.80/372,877,182,023.70 = 248,584,788,015.80/x
  3. Step 3: Cross multiply
    248,584,788,015.80x = 372,877,182,023.70 × 248,584,788,015.80
  4. Step 4: Simplify right side
    248,584,788,015.80x = 92,691,595,249,290,340,990,976
  5. Step 5: Solve for x
    x = 92,691,595,249,290,340,990,976/248,584,788,015.80
  6. Step 6: Final answer
    x = 372,877,182,023.70

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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.