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Finding the Fourth Proportional to 200,268,297,029.10, 300,402,445,543.65 and 200,268,297,029.10

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Solution

The fourth proportional to 200,268,297,029.10, 300,402,445,543.65 and 200,268,297,029.10 is: 300,402,445,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,268,297,029.10 : 300,402,445,543.65 = 200,268,297,029.10 : x
  2. Step 2: Convert to fraction form
    200,268,297,029.10/300,402,445,543.65 = 200,268,297,029.10/x
  3. Step 3: Cross multiply
    200,268,297,029.10x = 300,402,445,543.65 × 200,268,297,029.10
  4. Step 4: Simplify right side
    200,268,297,029.10x = 60,161,086,192,403,745,865,728
  5. Step 5: Solve for x
    x = 60,161,086,192,403,745,865,728/200,268,297,029.10
  6. Step 6: Final answer
    x = 300,402,445,543.65

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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.