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Finding the Fourth Proportional to 188,139,211.20, 282,208,816.80 and 188,139,211.20

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Solution

The fourth proportional to 188,139,211.20, 282,208,816.80 and 188,139,211.20 is: 282,208,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,139,211.20 : 282,208,816.80 = 188,139,211.20 : x
  2. Step 2: Convert to fraction form
    188,139,211.20/282,208,816.80 = 188,139,211.20/x
  3. Step 3: Cross multiply
    188,139,211.20x = 282,208,816.80 × 188,139,211.20
  4. Step 4: Simplify right side
    188,139,211.20x = 53,094,544,186,437,304
  5. Step 5: Solve for x
    x = 53,094,544,186,437,304/188,139,211.20
  6. Step 6: Final answer
    x = 282,208,816.80

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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.