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Finding the Fourth Proportional to 12,096,478,303,818, 18,144,717,455,728 and 12,096,478,303,818

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Solution

The fourth proportional to 12,096,478,303,818, 18,144,717,455,728 and 12,096,478,303,818 is: 18,144,717,455,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,478,303,818 : 18,144,717,455,728 = 12,096,478,303,818 : x
  2. Step 2: Convert to fraction form
    12,096,478,303,818/18,144,717,455,728 = 12,096,478,303,818/x
  3. Step 3: Cross multiply
    12,096,478,303,818x = 18,144,717,455,728 × 12,096,478,303,818
  4. Step 4: Simplify right side
    12,096,478,303,818x = 219,487,181,032,121,508,116,299,776
  5. Step 5: Solve for x
    x = 219,487,181,032,121,508,116,299,776/12,096,478,303,818
  6. Step 6: Final answer
    x = 18,144,717,455,728

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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.