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Finding the Fourth Proportional to 830,628,662.40, 1,245,942,993.60 and 830,628,662.40

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Solution

The fourth proportional to 830,628,662.40, 1,245,942,993.60 and 830,628,662.40 is: 1,245,942,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,628,662.40 : 1,245,942,993.60 = 830,628,662.40 : x
  2. Step 2: Convert to fraction form
    830,628,662.40/1,245,942,993.60 = 830,628,662.40/x
  3. Step 3: Cross multiply
    830,628,662.40x = 1,245,942,993.60 × 830,628,662.40
  4. Step 4: Simplify right side
    830,628,662.40x = 1,034,915,962,200,619,648
  5. Step 5: Solve for x
    x = 1,034,915,962,200,619,648/830,628,662.40
  6. Step 6: Final answer
    x = 1,245,942,993.60

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1.5x scale

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.