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Finding the Fourth Proportional to 339,978,747.60, 509,968,121.40 and 110,112,800.40

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Solution

The fourth proportional to 339,978,747.60, 509,968,121.40 and 110,112,800.40 is: 165,169,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,978,747.60 : 509,968,121.40 = 110,112,800.40 : x
  2. Step 2: Convert to fraction form
    339,978,747.60/509,968,121.40 = 110,112,800.40/x
  3. Step 3: Cross multiply
    339,978,747.60x = 509,968,121.40 × 110,112,800.40
  4. Step 4: Simplify right side
    339,978,747.60x = 56,154,017,962,081,168
  5. Step 5: Solve for x
    x = 56,154,017,962,081,168/339,978,747.60
  6. Step 6: Final answer
    x = 165,169,200.60

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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.