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Finding the Fourth Proportional to 188,485,775,981.10, 282,728,663,971.65 and 188,485,775,981.10

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Solution

The fourth proportional to 188,485,775,981.10, 282,728,663,971.65 and 188,485,775,981.10 is: 282,728,663,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,485,775,981.10 : 282,728,663,971.65 = 188,485,775,981.10 : x
  2. Step 2: Convert to fraction form
    188,485,775,981.10/282,728,663,971.65 = 188,485,775,981.10/x
  3. Step 3: Cross multiply
    188,485,775,981.10x = 282,728,663,971.65 × 188,485,775,981.10
  4. Step 4: Simplify right side
    188,485,775,981.10x = 53,290,331,620,796,123,840,512
  5. Step 5: Solve for x
    x = 53,290,331,620,796,123,840,512/188,485,775,981.10
  6. Step 6: Final answer
    x = 282,728,663,971.65

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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.