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Finding the Fourth Proportional to 12,096,478,303,720, 18,144,717,455,584 and 12,096,478,303,720

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Solution

The fourth proportional to 12,096,478,303,720, 18,144,717,455,584 and 12,096,478,303,720 is: 18,144,717,455,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,478,303,720 : 18,144,717,455,584 = 12,096,478,303,720 : x
  2. Step 2: Convert to fraction form
    12,096,478,303,720/18,144,717,455,584 = 12,096,478,303,720/x
  3. Step 3: Cross multiply
    12,096,478,303,720x = 18,144,717,455,584 × 12,096,478,303,720
  4. Step 4: Simplify right side
    12,096,478,303,720x = 219,487,181,028,601,421,639,974,912
  5. Step 5: Solve for x
    x = 219,487,181,028,601,421,639,974,912/12,096,478,303,720
  6. Step 6: Final answer
    x = 18,144,717,455,584

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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.