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Finding the Fourth Proportional to 188,105,291,216.70, 282,157,936,825.05 and 188,105,291,216.70

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Solution

The fourth proportional to 188,105,291,216.70, 282,157,936,825.05 and 188,105,291,216.70 is: 282,157,936,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,105,291,216.70 : 282,157,936,825.05 = 188,105,291,216.70 : x
  2. Step 2: Convert to fraction form
    188,105,291,216.70/282,157,936,825.05 = 188,105,291,216.70/x
  3. Step 3: Cross multiply
    188,105,291,216.70x = 282,157,936,825.05 × 188,105,291,216.70
  4. Step 4: Simplify right side
    188,105,291,216.70x = 53,075,400,875,579,271,020,544
  5. Step 5: Solve for x
    x = 53,075,400,875,579,271,020,544/188,105,291,216.70
  6. Step 6: Final answer
    x = 282,157,936,825.05

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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.