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Finding the Fourth Proportional to 922,634,064,009.70, 1,383,951,096,014.60 and 922,634,064,009.70

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Solution

The fourth proportional to 922,634,064,009.70, 1,383,951,096,014.60 and 922,634,064,009.70 is: 1,383,951,096,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,634,064,009.70 : 1,383,951,096,014.60 = 922,634,064,009.70 : x
  2. Step 2: Convert to fraction form
    922,634,064,009.70/1,383,951,096,014.60 = 922,634,064,009.70/x
  3. Step 3: Cross multiply
    922,634,064,009.70x = 1,383,951,096,014.60 × 922,634,064,009.70
  4. Step 4: Simplify right side
    922,634,064,009.70x = 1,276,880,424,106,628,904,648,704
  5. Step 5: Solve for x
    x = 1,276,880,424,106,628,904,648,704/922,634,064,009.70
  6. Step 6: Final answer
    x = 1,383,951,096,014.60

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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.