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Finding the Fourth Proportional to 308,069,568,015.40, 462,104,352,023.10 and 308,069,568,015.40

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Solution

The fourth proportional to 308,069,568,015.40, 462,104,352,023.10 and 308,069,568,015.40 is: 462,104,352,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,069,568,015.40 : 462,104,352,023.10 = 308,069,568,015.40 : x
  2. Step 2: Convert to fraction form
    308,069,568,015.40/462,104,352,023.10 = 308,069,568,015.40/x
  3. Step 3: Cross multiply
    308,069,568,015.40x = 462,104,352,023.10 × 308,069,568,015.40
  4. Step 4: Simplify right side
    308,069,568,015.40x = 142,360,288,105,792,750,485,504
  5. Step 5: Solve for x
    x = 142,360,288,105,792,750,485,504/308,069,568,015.40
  6. Step 6: Final answer
    x = 462,104,352,023.10

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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.