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Finding the Fourth Proportional to 77,262,646,906.40, 115,893,970,359.60 and 77,262,646,906.40

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Solution

The fourth proportional to 77,262,646,906.40, 115,893,970,359.60 and 77,262,646,906.40 is: 115,893,970,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262,646,906.40 : 115,893,970,359.60 = 77,262,646,906.40 : x
  2. Step 2: Convert to fraction form
    77,262,646,906.40/115,893,970,359.60 = 77,262,646,906.40/x
  3. Step 3: Cross multiply
    77,262,646,906.40x = 115,893,970,359.60 × 77,262,646,906.40
  4. Step 4: Simplify right side
    77,262,646,906.40x = 8,954,274,910,474,561,650,688
  5. Step 5: Solve for x
    x = 8,954,274,910,474,561,650,688/77,262,646,906.40
  6. Step 6: Final answer
    x = 115,893,970,359.60

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1.5x scale

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.