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Finding the Fourth Proportional to 378,015,241,903.80, 567,022,862,855.70 and 378,015,241,903.80

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Solution

The fourth proportional to 378,015,241,903.80, 567,022,862,855.70 and 378,015,241,903.80 is: 567,022,862,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,015,241,903.80 : 567,022,862,855.70 = 378,015,241,903.80 : x
  2. Step 2: Convert to fraction form
    378,015,241,903.80/567,022,862,855.70 = 378,015,241,903.80/x
  3. Step 3: Cross multiply
    378,015,241,903.80x = 567,022,862,855.70 × 378,015,241,903.80
  4. Step 4: Simplify right side
    378,015,241,903.80x = 214,343,284,667,382,637,789,184
  5. Step 5: Solve for x
    x = 214,343,284,667,382,637,789,184/378,015,241,903.80
  6. Step 6: Final answer
    x = 567,022,862,855.70

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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.