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Finding the Fourth Proportional to 368,510,098,646.20, 552,765,147,969.30 and 368,510,098,646.20

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Solution

The fourth proportional to 368,510,098,646.20, 552,765,147,969.30 and 368,510,098,646.20 is: 552,765,147,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,510,098,646.20 : 552,765,147,969.30 = 368,510,098,646.20 : x
  2. Step 2: Convert to fraction form
    368,510,098,646.20/552,765,147,969.30 = 368,510,098,646.20/x
  3. Step 3: Cross multiply
    368,510,098,646.20x = 552,765,147,969.30 × 368,510,098,646.20
  4. Step 4: Simplify right side
    368,510,098,646.20x = 203,699,539,206,348,099,026,944
  5. Step 5: Solve for x
    x = 203,699,539,206,348,099,026,944/368,510,098,646.20
  6. Step 6: Final answer
    x = 552,765,147,969.30

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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.