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Finding the Fourth Proportional to 110,825,829.60, 165,860,830.80 and 110,825,829.60

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Solution

The fourth proportional to 110,825,829.60, 165,860,830.80 and 110,825,829.60 is: 165,860,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,825,829.60 : 165,860,830.80 = 110,825,829.60 : x
  2. Step 2: Convert to fraction form
    110,825,829.60/165,860,830.80 = 110,825,829.60/x
  3. Step 3: Cross multiply
    110,825,829.60x = 165,860,830.80 × 110,825,829.60
  4. Step 4: Simplify right side
    110,825,829.60x = 18,381,664,171,555,232
  5. Step 5: Solve for x
    x = 18,381,664,171,555,232/110,825,829.60
  6. Step 6: Final answer
    x = 165,860,830.80

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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.