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Finding the Fourth Proportional to 201,775,809.40, 302,663,714.10 and 200,075,198.20

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Solution

The fourth proportional to 201,775,809.40, 302,663,714.10 and 200,075,198.20 is: 300,112,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775,809.40 : 302,663,714.10 = 200,075,198.20 : x
  2. Step 2: Convert to fraction form
    201,775,809.40/302,663,714.10 = 200,075,198.20/x
  3. Step 3: Cross multiply
    201,775,809.40x = 302,663,714.10 × 200,075,198.20
  4. Step 4: Simplify right side
    201,775,809.40x = 60,555,502,586,505,632
  5. Step 5: Solve for x
    x = 60,555,502,586,505,632/201,775,809.40
  6. Step 6: Final answer
    x = 300,112,797.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.