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Finding the Fourth Proportional to 200,596,502.10, 281,345,286.30 and 200,596,502.10

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Solution

The fourth proportional to 200,596,502.10, 281,345,286.30 and 200,596,502.10 is: 281,345,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,502.10 : 281,345,286.30 = 200,596,502.10 : x
  2. Step 2: Convert to fraction form
    200,596,502.10/281,345,286.30 = 200,596,502.10/x
  3. Step 3: Cross multiply
    200,596,502.10x = 281,345,286.30 × 200,596,502.10
  4. Step 4: Simplify right side
    200,596,502.10x = 56,436,880,314,103,048
  5. Step 5: Solve for x
    x = 56,436,880,314,103,048/200,596,502.10
  6. Step 6: Final answer
    x = 281,345,286.30

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