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Finding the Fourth Proportional to 14,300,706,816,168, 21,451,060,224,255 and 14,300,706,816,168

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Solution

The fourth proportional to 14,300,706,816,168, 21,451,060,224,255 and 14,300,706,816,168 is: 21,451,060,224,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300,706,816,168 : 21,451,060,224,255 = 14,300,706,816,168 : x
  2. Step 2: Convert to fraction form
    14,300,706,816,168/21,451,060,224,255 = 14,300,706,816,168/x
  3. Step 3: Cross multiply
    14,300,706,816,168x = 21,451,060,224,255 × 14,300,706,816,168
  4. Step 4: Simplify right side
    14,300,706,816,168x = 306,765,323,163,033,759,186,419,712
  5. Step 5: Solve for x
    x = 306,765,323,163,033,759,186,419,712/14,300,706,816,168
  6. Step 6: Final answer
    x = 21,451,060,224,255

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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.