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Finding the Fourth Proportional to 996,819,382.80, 1,495,229,074.20 and 996,819,382.80

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Solution

The fourth proportional to 996,819,382.80, 1,495,229,074.20 and 996,819,382.80 is: 1,495,229,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,819,382.80 : 1,495,229,074.20 = 996,819,382.80 : x
  2. Step 2: Convert to fraction form
    996,819,382.80/1,495,229,074.20 = 996,819,382.80/x
  3. Step 3: Cross multiply
    996,819,382.80x = 1,495,229,074.20 × 996,819,382.80
  4. Step 4: Simplify right side
    996,819,382.80x = 1,490,473,322,888,659,456
  5. Step 5: Solve for x
    x = 1,490,473,322,888,659,456/996,819,382.80
  6. Step 6: Final answer
    x = 1,495,229,074.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.