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Finding the Fourth Proportional to 463,575,375,093.80, 695,363,062,640.70 and 463,575,375,093.80

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Solution

The fourth proportional to 463,575,375,093.80, 695,363,062,640.70 and 463,575,375,093.80 is: 695,363,062,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,375,093.80 : 695,363,062,640.70 = 463,575,375,093.80 : x
  2. Step 2: Convert to fraction form
    463,575,375,093.80/695,363,062,640.70 = 463,575,375,093.80/x
  3. Step 3: Cross multiply
    463,575,375,093.80x = 695,363,062,640.70 × 463,575,375,093.80
  4. Step 4: Simplify right side
    463,575,375,093.80x = 322,353,192,590,036,046,970,880
  5. Step 5: Solve for x
    x = 322,353,192,590,036,046,970,880/463,575,375,093.80
  6. Step 6: Final answer
    x = 695,363,062,640.70

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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.