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Finding the Fourth Proportional to 922,634,067,620.02, 1,383,951,101,430.10 and 922,634,067,620.02

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Solution

The fourth proportional to 922,634,067,620.02, 1,383,951,101,430.10 and 922,634,067,620.02 is: 1,383,951,101,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,634,067,620.02 : 1,383,951,101,430.10 = 922,634,067,620.02 : x
  2. Step 2: Convert to fraction form
    922,634,067,620.02/1,383,951,101,430.10 = 922,634,067,620.02/x
  3. Step 3: Cross multiply
    922,634,067,620.02x = 1,383,951,101,430.10 × 922,634,067,620.02
  4. Step 4: Simplify right side
    922,634,067,620.02x = 1,276,880,434,099,660,055,904,256
  5. Step 5: Solve for x
    x = 1,276,880,434,099,660,055,904,256/922,634,067,620.02
  6. Step 6: Final answer
    x = 1,383,951,101,430.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.