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Finding the Fourth Proportional to 604,576,978,669.80, 906,868,858,406.94 and 201,659,342,845.46

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Solution

The fourth proportional to 604,576,978,669.80, 906,868,858,406.94 and 201,659,342,845.46 is: 302,490,145,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,576,978,669.80 : 906,868,858,406.94 = 201,659,342,845.46 : x
  2. Step 2: Convert to fraction form
    604,576,978,669.80/906,868,858,406.94 = 201,659,342,845.46/x
  3. Step 3: Cross multiply
    604,576,978,669.80x = 906,868,858,406.94 × 201,659,342,845.46
  4. Step 4: Simplify right side
    604,576,978,669.80x = 182,878,578,033,356,009,635,840
  5. Step 5: Solve for x
    x = 182,878,578,033,356,009,635,840/604,576,978,669.80
  6. Step 6: Final answer
    x = 302,490,145,151.95

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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.