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Finding the Fourth Proportional to 28,384,157,575.20, 42,576,236,362.80 and 28,384,157,575.20

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Solution

The fourth proportional to 28,384,157,575.20, 42,576,236,362.80 and 28,384,157,575.20 is: 42,576,236,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384,157,575.20 : 42,576,236,362.80 = 28,384,157,575.20 : x
  2. Step 2: Convert to fraction form
    28,384,157,575.20/42,576,236,362.80 = 28,384,157,575.20/x
  3. Step 3: Cross multiply
    28,384,157,575.20x = 42,576,236,362.80 × 28,384,157,575.20
  4. Step 4: Simplify right side
    28,384,157,575.20x = 1,208,490,601,880,675,418,112
  5. Step 5: Solve for x
    x = 1,208,490,601,880,675,418,112/28,384,157,575.20
  6. Step 6: Final answer
    x = 42,576,236,362.80

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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.