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Finding the Fourth Proportional to 3,985,692,004.70, 5,978,538,007.05 and 3,985,692,004.70

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Solution

The fourth proportional to 3,985,692,004.70, 5,978,538,007.05 and 3,985,692,004.70 is: 5,978,538,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,692,004.70 : 5,978,538,007.05 = 3,985,692,004.70 : x
  2. Step 2: Convert to fraction form
    3,985,692,004.70/5,978,538,007.05 = 3,985,692,004.70/x
  3. Step 3: Cross multiply
    3,985,692,004.70x = 5,978,538,007.05 × 3,985,692,004.70
  4. Step 4: Simplify right side
    3,985,692,004.70x = 23,828,611,134,494,257,152
  5. Step 5: Solve for x
    x = 23,828,611,134,494,257,152/3,985,692,004.70
  6. Step 6: Final answer
    x = 5,978,538,007.05

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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.