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Finding the Fourth Proportional to 490,068,015.60, 735,102,023.40 and 183,320,270.40

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Solution

The fourth proportional to 490,068,015.60, 735,102,023.40 and 183,320,270.40 is: 274,980,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,068,015.60 : 735,102,023.40 = 183,320,270.40 : x
  2. Step 2: Convert to fraction form
    490,068,015.60/735,102,023.40 = 183,320,270.40/x
  3. Step 3: Cross multiply
    490,068,015.60x = 735,102,023.40 × 183,320,270.40
  4. Step 4: Simplify right side
    490,068,015.60x = 134,759,101,701,275,120
  5. Step 5: Solve for x
    x = 134,759,101,701,275,120/490,068,015.60
  6. Step 6: Final answer
    x = 274,980,405.60

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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.