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Finding the Fourth Proportional to 138,416,199.40, 207,624,299.10 and 138,416,199.40

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Solution

The fourth proportional to 138,416,199.40, 207,624,299.10 and 138,416,199.40 is: 207,624,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,416,199.40 : 207,624,299.10 = 138,416,199.40 : x
  2. Step 2: Convert to fraction form
    138,416,199.40/207,624,299.10 = 138,416,199.40/x
  3. Step 3: Cross multiply
    138,416,199.40x = 207,624,299.10 × 138,416,199.40
  4. Step 4: Simplify right side
    138,416,199.40x = 28,738,566,384,510,840
  5. Step 5: Solve for x
    x = 28,738,566,384,510,840/138,416,199.40
  6. Step 6: Final answer
    x = 207,624,299.10

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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.