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Finding the Fourth Proportional to 182,435,356,857.60, 255,757,784,774.40 and 182,435,356,857.60

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Solution

The fourth proportional to 182,435,356,857.60, 255,757,784,774.40 and 182,435,356,857.60 is: 255,757,784,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,435,356,857.60 : 255,757,784,774.40 = 182,435,356,857.60 : x
  2. Step 2: Convert to fraction form
    182,435,356,857.60/255,757,784,774.40 = 182,435,356,857.60/x
  3. Step 3: Cross multiply
    182,435,356,857.60x = 255,757,784,774.40 × 182,435,356,857.60
  4. Step 4: Simplify right side
    182,435,356,857.60x = 46,659,262,734,426,919,927,808
  5. Step 5: Solve for x
    x = 46,659,262,734,426,919,927,808/182,435,356,857.60
  6. Step 6: Final answer
    x = 255,757,784,774.40

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Why These Related Problems?

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