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Finding the Fourth Proportional to 2,675,273,998,052, 4,012,910,997,078.20 and 2,675,273,998,052

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Solution

The fourth proportional to 2,675,273,998,052, 4,012,910,997,078.20 and 2,675,273,998,052 is: 4,012,910,997,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,273,998,052 : 4,012,910,997,078.20 = 2,675,273,998,052 : x
  2. Step 2: Convert to fraction form
    2,675,273,998,052/4,012,910,997,078.20 = 2,675,273,998,052/x
  3. Step 3: Cross multiply
    2,675,273,998,052x = 4,012,910,997,078.20 × 2,675,273,998,052
  4. Step 4: Simplify right side
    2,675,273,998,052x = 10,735,636,446,980,234,385,817,600
  5. Step 5: Solve for x
    x = 10,735,636,446,980,234,385,817,600/2,675,273,998,052
  6. Step 6: Final answer
    x = 4,012,910,997,078.20

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1.5x scale

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.