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Finding the Fourth Proportional to 201,012,137.70, 281,799,630.30 and 201,012,137.70

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Solution

The fourth proportional to 201,012,137.70, 281,799,630.30 and 201,012,137.70 is: 281,799,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,012,137.70 : 281,799,630.30 = 201,012,137.70 : x
  2. Step 2: Convert to fraction form
    201,012,137.70/281,799,630.30 = 201,012,137.70/x
  3. Step 3: Cross multiply
    201,012,137.70x = 281,799,630.30 × 201,012,137.70
  4. Step 4: Simplify right side
    201,012,137.70x = 56,645,146,089,672,688
  5. Step 5: Solve for x
    x = 56,645,146,089,672,688/201,012,137.70
  6. Step 6: Final answer
    x = 281,799,630.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.