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Finding the Fourth Proportional to 201,607,127,003.14, 302,410,690,504.72 and 201,607,127,003.14

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Solution

The fourth proportional to 201,607,127,003.14, 302,410,690,504.72 and 201,607,127,003.14 is: 302,410,690,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,607,127,003.14 : 302,410,690,504.72 = 201,607,127,003.14 : x
  2. Step 2: Convert to fraction form
    201,607,127,003.14/302,410,690,504.72 = 201,607,127,003.14/x
  3. Step 3: Cross multiply
    201,607,127,003.14x = 302,410,690,504.72 × 201,607,127,003.14
  4. Step 4: Simplify right side
    201,607,127,003.14x = 60,968,150,487,692,346,392,576
  5. Step 5: Solve for x
    x = 60,968,150,487,692,346,392,576/201,607,127,003.14
  6. Step 6: Final answer
    x = 302,410,690,504.72

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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.