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Finding the Fourth Proportional to 2,989,776,772.15, 4,484,665,158.23 and 2,989,776,772.15

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Solution

The fourth proportional to 2,989,776,772.15, 4,484,665,158.23 and 2,989,776,772.15 is: 4,484,665,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,776,772.15 : 4,484,665,158.23 = 2,989,776,772.15 : x
  2. Step 2: Convert to fraction form
    2,989,776,772.15/4,484,665,158.23 = 2,989,776,772.15/x
  3. Step 3: Cross multiply
    2,989,776,772.15x = 4,484,665,158.23 × 2,989,776,772.15
  4. Step 4: Simplify right side
    2,989,776,772.15x = 13,408,147,720,946,456,576
  5. Step 5: Solve for x
    x = 13,408,147,720,946,456,576/2,989,776,772.15
  6. Step 6: Final answer
    x = 4,484,665,158.23

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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.