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Finding the Fourth Proportional to 141,364,331,969.20, 212,046,497,953.80 and 141,364,331,969.20

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Solution

The fourth proportional to 141,364,331,969.20, 212,046,497,953.80 and 141,364,331,969.20 is: 212,046,497,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,364,331,969.20 : 212,046,497,953.80 = 141,364,331,969.20 : x
  2. Step 2: Convert to fraction form
    141,364,331,969.20/212,046,497,953.80 = 141,364,331,969.20/x
  3. Step 3: Cross multiply
    141,364,331,969.20x = 212,046,497,953.80 × 141,364,331,969.20
  4. Step 4: Simplify right side
    141,364,331,969.20x = 29,975,811,529,647,270,658,048
  5. Step 5: Solve for x
    x = 29,975,811,529,647,270,658,048/141,364,331,969.20
  6. Step 6: Final answer
    x = 212,046,497,953.80

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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.