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Finding the Fourth Proportional to 201,284,431.40, 301,926,647.10 and 201,284,431.40

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Solution

The fourth proportional to 201,284,431.40, 301,926,647.10 and 201,284,431.40 is: 301,926,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284,431.40 : 301,926,647.10 = 201,284,431.40 : x
  2. Step 2: Convert to fraction form
    201,284,431.40/301,926,647.10 = 201,284,431.40/x
  3. Step 3: Cross multiply
    201,284,431.40x = 301,926,647.10 × 201,284,431.40
  4. Step 4: Simplify right side
    201,284,431.40x = 60,773,133,486,031,968
  5. Step 5: Solve for x
    x = 60,773,133,486,031,968/201,284,431.40
  6. Step 6: Final answer
    x = 301,926,647.10

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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.