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Finding the Fourth Proportional to 282,119,463,002.70, 396,083,019,212.10 and 282,119,463,002.70

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Solution

The fourth proportional to 282,119,463,002.70, 396,083,019,212.10 and 282,119,463,002.70 is: 396,083,019,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,119,463,002.70 : 396,083,019,212.10 = 282,119,463,002.70 : x
  2. Step 2: Convert to fraction form
    282,119,463,002.70/396,083,019,212.10 = 282,119,463,002.70/x
  3. Step 3: Cross multiply
    282,119,463,002.70x = 396,083,019,212.10 × 282,119,463,002.70
  4. Step 4: Simplify right side
    282,119,463,002.70x = 111,742,728,684,605,762,699,264
  5. Step 5: Solve for x
    x = 111,742,728,684,605,762,699,264/282,119,463,002.70
  6. Step 6: Final answer
    x = 396,083,019,212.10

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Why These Related Problems?

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