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Finding the Fourth Proportional to 2,833,869,898,052, 4,250,804,847,078 and 2,833,869,898,052

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Solution

The fourth proportional to 2,833,869,898,052, 4,250,804,847,078 and 2,833,869,898,052 is: 4,250,804,847,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,869,898,052 : 4,250,804,847,078 = 2,833,869,898,052 : x
  2. Step 2: Convert to fraction form
    2,833,869,898,052/4,250,804,847,078 = 2,833,869,898,052/x
  3. Step 3: Cross multiply
    2,833,869,898,052x = 4,250,804,847,078 × 2,833,869,898,052
  4. Step 4: Simplify right side
    2,833,869,898,052x = 12,046,227,898,627,879,210,057,728
  5. Step 5: Solve for x
    x = 12,046,227,898,627,879,210,057,728/2,833,869,898,052
  6. Step 6: Final answer
    x = 4,250,804,847,078

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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.