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Finding the Fourth Proportional to 2,316,942,912.15, 3,475,414,368.23 and 2,316,942,912.15

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Solution

The fourth proportional to 2,316,942,912.15, 3,475,414,368.23 and 2,316,942,912.15 is: 3,475,414,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316,942,912.15 : 3,475,414,368.23 = 2,316,942,912.15 : x
  2. Step 2: Convert to fraction form
    2,316,942,912.15/3,475,414,368.23 = 2,316,942,912.15/x
  3. Step 3: Cross multiply
    2,316,942,912.15x = 3,475,414,368.23 × 2,316,942,912.15
  4. Step 4: Simplify right side
    2,316,942,912.15x = 8,052,336,687,243,184,128
  5. Step 5: Solve for x
    x = 8,052,336,687,243,184,128/2,316,942,912.15
  6. Step 6: Final answer
    x = 3,475,414,368.23

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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.