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Finding the Fourth Proportional to 4,489,613,568,000.90, 6,734,420,352,001.40 and 4,489,613,568,000.90

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Solution

The fourth proportional to 4,489,613,568,000.90, 6,734,420,352,001.40 and 4,489,613,568,000.90 is: 6,734,420,352,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,613,568,000.90 : 6,734,420,352,001.40 = 4,489,613,568,000.90 : x
  2. Step 2: Convert to fraction form
    4,489,613,568,000.90/6,734,420,352,001.40 = 4,489,613,568,000.90/x
  3. Step 3: Cross multiply
    4,489,613,568,000.90x = 6,734,420,352,001.40 × 4,489,613,568,000.90
  4. Step 4: Simplify right side
    4,489,613,568,000.90x = 30,234,944,984,966,887,467,122,688
  5. Step 5: Solve for x
    x = 30,234,944,984,966,887,467,122,688/4,489,613,568,000.90
  6. Step 6: Final answer
    x = 6,734,420,352,001.40

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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.