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Finding the Fourth Proportional to 188,485,775,982.10, 282,728,663,973.15 and 188,485,775,982.10

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Solution

The fourth proportional to 188,485,775,982.10, 282,728,663,973.15 and 188,485,775,982.10 is: 282,728,663,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,485,775,982.10 : 282,728,663,973.15 = 188,485,775,982.10 : x
  2. Step 2: Convert to fraction form
    188,485,775,982.10/282,728,663,973.15 = 188,485,775,982.10/x
  3. Step 3: Cross multiply
    188,485,775,982.10x = 282,728,663,973.15 × 188,485,775,982.10
  4. Step 4: Simplify right side
    188,485,775,982.10x = 53,290,331,621,361,583,128,576
  5. Step 5: Solve for x
    x = 53,290,331,621,361,583,128,576/188,485,775,982.10
  6. Step 6: Final answer
    x = 282,728,663,973.15

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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.