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Finding the Fourth Proportional to 5,812,842,002.10, 8,719,263,003.15 and 5,812,842,002.10

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Solution

The fourth proportional to 5,812,842,002.10, 8,719,263,003.15 and 5,812,842,002.10 is: 8,719,263,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,842,002.10 : 8,719,263,003.15 = 5,812,842,002.10 : x
  2. Step 2: Convert to fraction form
    5,812,842,002.10/8,719,263,003.15 = 5,812,842,002.10/x
  3. Step 3: Cross multiply
    5,812,842,002.10x = 8,719,263,003.15 × 5,812,842,002.10
  4. Step 4: Simplify right side
    5,812,842,002.10x = 50,683,698,212,066,902,016
  5. Step 5: Solve for x
    x = 50,683,698,212,066,902,016/5,812,842,002.10
  6. Step 6: Final answer
    x = 8,719,263,003.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.