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Finding the Fourth Proportional to 201,645,605.40, 301,712,580.90 and 133,621,157.40

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Solution

The fourth proportional to 201,645,605.40, 301,712,580.90 and 133,621,157.40 is: 199,930,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645,605.40 : 301,712,580.90 = 133,621,157.40 : x
  2. Step 2: Convert to fraction form
    201,645,605.40/301,712,580.90 = 133,621,157.40/x
  3. Step 3: Cross multiply
    201,645,605.40x = 301,712,580.90 × 133,621,157.40
  4. Step 4: Simplify right side
    201,645,605.40x = 40,315,184,261,999,136
  5. Step 5: Solve for x
    x = 40,315,184,261,999,136/201,645,605.40
  6. Step 6: Final answer
    x = 199,930,884.59

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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.