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Finding the Fourth Proportional to 182,062,736,145.60, 273,094,104,218.40 and 182,062,736,145.60

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Solution

The fourth proportional to 182,062,736,145.60, 273,094,104,218.40 and 182,062,736,145.60 is: 273,094,104,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,062,736,145.60 : 273,094,104,218.40 = 182,062,736,145.60 : x
  2. Step 2: Convert to fraction form
    182,062,736,145.60/273,094,104,218.40 = 182,062,736,145.60/x
  3. Step 3: Cross multiply
    182,062,736,145.60x = 273,094,104,218.40 × 182,062,736,145.60
  4. Step 4: Simplify right side
    182,062,736,145.60x = 49,720,259,839,233,544,421,376
  5. Step 5: Solve for x
    x = 49,720,259,839,233,544,421,376/182,062,736,145.60
  6. Step 6: Final answer
    x = 273,094,104,218.40

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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.