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Finding the Fourth Proportional to 1,020,396,675.20, 1,431,276,323.20 and 1,020,396,675.20

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Solution

The fourth proportional to 1,020,396,675.20, 1,431,276,323.20 and 1,020,396,675.20 is: 1,431,276,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,396,675.20 : 1,431,276,323.20 = 1,020,396,675.20 : x
  2. Step 2: Convert to fraction form
    1,020,396,675.20/1,431,276,323.20 = 1,020,396,675.20/x
  3. Step 3: Cross multiply
    1,020,396,675.20x = 1,431,276,323.20 × 1,020,396,675.20
  4. Step 4: Simplify right side
    1,020,396,675.20x = 1,460,469,601,485,760,768
  5. Step 5: Solve for x
    x = 1,460,469,601,485,760,768/1,020,396,675.20
  6. Step 6: Final answer
    x = 1,431,276,323.20

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Double scale
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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.