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Finding the Fourth Proportional to 1,760,138,424,000.50, 2,640,207,636,000.70 and 1,760,138,424,000.50

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Solution

The fourth proportional to 1,760,138,424,000.50, 2,640,207,636,000.70 and 1,760,138,424,000.50 is: 2,640,207,636,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,138,424,000.50 : 2,640,207,636,000.70 = 1,760,138,424,000.50 : x
  2. Step 2: Convert to fraction form
    1,760,138,424,000.50/2,640,207,636,000.70 = 1,760,138,424,000.50/x
  3. Step 3: Cross multiply
    1,760,138,424,000.50x = 2,640,207,636,000.70 × 1,760,138,424,000.50
  4. Step 4: Simplify right side
    1,760,138,424,000.50x = 4,647,130,907,464,358,065,864,704
  5. Step 5: Solve for x
    x = 4,647,130,907,464,358,065,864,704/1,760,138,424,000.50
  6. Step 6: Final answer
    x = 2,640,207,636,000.70

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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.