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Finding the Fourth Proportional to 110,652,155.60, 165,978,233.40 and 56,904,443.60

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Solution

The fourth proportional to 110,652,155.60, 165,978,233.40 and 56,904,443.60 is: 85,356,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,652,155.60 : 165,978,233.40 = 56,904,443.60 : x
  2. Step 2: Convert to fraction form
    110,652,155.60/165,978,233.40 = 56,904,443.60/x
  3. Step 3: Cross multiply
    110,652,155.60x = 165,978,233.40 × 56,904,443.60
  4. Step 4: Simplify right side
    110,652,155.60x = 9,444,899,021,337,936
  5. Step 5: Solve for x
    x = 9,444,899,021,337,936/110,652,155.60
  6. Step 6: Final answer
    x = 85,356,665.40

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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.