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Finding the Fourth Proportional to 5,057,298,601.65, 7,585,947,902.48 and 5,057,298,601.65

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Solution

The fourth proportional to 5,057,298,601.65, 7,585,947,902.48 and 5,057,298,601.65 is: 7,585,947,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,298,601.65 : 7,585,947,902.48 = 5,057,298,601.65 : x
  2. Step 2: Convert to fraction form
    5,057,298,601.65/7,585,947,902.48 = 5,057,298,601.65/x
  3. Step 3: Cross multiply
    5,057,298,601.65x = 7,585,947,902.48 × 5,057,298,601.65
  4. Step 4: Simplify right side
    5,057,298,601.65x = 38,364,403,719,376,568,320
  5. Step 5: Solve for x
    x = 38,364,403,719,376,568,320/5,057,298,601.65
  6. Step 6: Final answer
    x = 7,585,947,902.48

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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.