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Finding the Fourth Proportional to 12,096,478,303,806, 18,144,717,455,707 and 12,096,478,303,806

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Solution

The fourth proportional to 12,096,478,303,806, 18,144,717,455,707 and 12,096,478,303,806 is: 18,144,717,455,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,478,303,806 : 18,144,717,455,707 = 12,096,478,303,806 : x
  2. Step 2: Convert to fraction form
    12,096,478,303,806/18,144,717,455,707 = 12,096,478,303,806/x
  3. Step 3: Cross multiply
    12,096,478,303,806x = 18,144,717,455,707 × 12,096,478,303,806
  4. Step 4: Simplify right side
    12,096,478,303,806x = 219,487,181,031,649,714,548,768,768
  5. Step 5: Solve for x
    x = 219,487,181,031,649,714,548,768,768/12,096,478,303,806
  6. Step 6: Final answer
    x = 18,144,717,455,707

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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.