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Finding the Fourth Proportional to 193,338,429,662.40, 290,007,644,493.60 and 193,338,429,662.40

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Solution

The fourth proportional to 193,338,429,662.40, 290,007,644,493.60 and 193,338,429,662.40 is: 290,007,644,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,338,429,662.40 : 290,007,644,493.60 = 193,338,429,662.40 : x
  2. Step 2: Convert to fraction form
    193,338,429,662.40/290,007,644,493.60 = 193,338,429,662.40/x
  3. Step 3: Cross multiply
    193,338,429,662.40x = 290,007,644,493.60 × 193,338,429,662.40
  4. Step 4: Simplify right side
    193,338,429,662.40x = 56,069,622,576,484,179,771,392
  5. Step 5: Solve for x
    x = 56,069,622,576,484,179,771,392/193,338,429,662.40
  6. Step 6: Final answer
    x = 290,007,644,493.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.