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Finding the Fourth Proportional to 3,985,803,090.45, 5,978,704,635.68 and 3,985,803,090.45

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Solution

The fourth proportional to 3,985,803,090.45, 5,978,704,635.68 and 3,985,803,090.45 is: 5,978,704,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,803,090.45 : 5,978,704,635.68 = 3,985,803,090.45 : x
  2. Step 2: Convert to fraction form
    3,985,803,090.45/5,978,704,635.68 = 3,985,803,090.45/x
  3. Step 3: Cross multiply
    3,985,803,090.45x = 5,978,704,635.68 × 3,985,803,090.45
  4. Step 4: Simplify right side
    3,985,803,090.45x = 23,829,939,413,761,155,072
  5. Step 5: Solve for x
    x = 23,829,939,413,761,155,072/3,985,803,090.45
  6. Step 6: Final answer
    x = 5,978,704,635.68

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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.