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Finding the Fourth Proportional to 12,096,478,303,853, 18,144,717,455,781 and 12,096,478,303,853

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Solution

The fourth proportional to 12,096,478,303,853, 18,144,717,455,781 and 12,096,478,303,853 is: 18,144,717,455,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,478,303,853 : 18,144,717,455,781 = 12,096,478,303,853 : x
  2. Step 2: Convert to fraction form
    12,096,478,303,853/18,144,717,455,781 = 12,096,478,303,853/x
  3. Step 3: Cross multiply
    12,096,478,303,853x = 18,144,717,455,781 × 12,096,478,303,853
  4. Step 4: Simplify right side
    12,096,478,303,853x = 219,487,181,033,397,663,159,025,664
  5. Step 5: Solve for x
    x = 219,487,181,033,397,663,159,025,664/12,096,478,303,853
  6. Step 6: Final answer
    x = 18,144,717,455,781

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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.