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Finding the Fourth Proportional to 818,064,846,200.70, 1,227,097,269,301 and 340,375,383,263.70

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Solution

The fourth proportional to 818,064,846,200.70, 1,227,097,269,301 and 340,375,383,263.70 is: 510,563,074,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,064,846,200.70 : 1,227,097,269,301 = 340,375,383,263.70 : x
  2. Step 2: Convert to fraction form
    818,064,846,200.70/1,227,097,269,301 = 340,375,383,263.70/x
  3. Step 3: Cross multiply
    818,064,846,200.70x = 1,227,097,269,301 × 340,375,383,263.70
  4. Step 4: Simplify right side
    818,064,846,200.70x = 417,673,703,340,167,556,759,552
  5. Step 5: Solve for x
    x = 417,673,703,340,167,556,759,552/818,064,846,200.70
  6. Step 6: Final answer
    x = 510,563,074,895.53

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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.