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Finding the Fourth Proportional to 182,435,356,938.60, 255,757,784,887.80 and 182,435,356,938.60

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Solution

The fourth proportional to 182,435,356,938.60, 255,757,784,887.80 and 182,435,356,938.60 is: 255,757,784,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,435,356,938.60 : 255,757,784,887.80 = 182,435,356,938.60 : x
  2. Step 2: Convert to fraction form
    182,435,356,938.60/255,757,784,887.80 = 182,435,356,938.60/x
  3. Step 3: Cross multiply
    182,435,356,938.60x = 255,757,784,887.80 × 182,435,356,938.60
  4. Step 4: Simplify right side
    182,435,356,938.60x = 46,659,262,775,831,470,014,464
  5. Step 5: Solve for x
    x = 46,659,262,775,831,470,014,464/182,435,356,938.60
  6. Step 6: Final answer
    x = 255,757,784,887.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.