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Finding the Fourth Proportional to 1,049,015,215.80, 1,470,771,210.60 and 1,049,015,215.80

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Solution

The fourth proportional to 1,049,015,215.80, 1,470,771,210.60 and 1,049,015,215.80 is: 1,470,771,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,015,215.80 : 1,470,771,210.60 = 1,049,015,215.80 : x
  2. Step 2: Convert to fraction form
    1,049,015,215.80/1,470,771,210.60 = 1,049,015,215.80/x
  3. Step 3: Cross multiply
    1,049,015,215.80x = 1,470,771,210.60 × 1,049,015,215.80
  4. Step 4: Simplify right side
    1,049,015,215.80x = 1,542,861,378,879,986,176
  5. Step 5: Solve for x
    x = 1,542,861,378,879,986,176/1,049,015,215.80
  6. Step 6: Final answer
    x = 1,470,771,210.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.