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Finding the Fourth Proportional to 4,540,348,516.05, 6,810,522,774.08 and 4,540,348,516.05

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Solution

The fourth proportional to 4,540,348,516.05, 6,810,522,774.08 and 4,540,348,516.05 is: 6,810,522,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,348,516.05 : 6,810,522,774.08 = 4,540,348,516.05 : x
  2. Step 2: Convert to fraction form
    4,540,348,516.05/6,810,522,774.08 = 4,540,348,516.05/x
  3. Step 3: Cross multiply
    4,540,348,516.05x = 6,810,522,774.08 × 4,540,348,516.05
  4. Step 4: Simplify right side
    4,540,348,516.05x = 30,922,146,970,796,154,880
  5. Step 5: Solve for x
    x = 30,922,146,970,796,154,880/4,540,348,516.05
  6. Step 6: Final answer
    x = 6,810,522,774.08

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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.