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Finding the Fourth Proportional to 127,848,263,448.80, 191,772,395,173.20 and 127,848,263,448.80

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Solution

The fourth proportional to 127,848,263,448.80, 191,772,395,173.20 and 127,848,263,448.80 is: 191,772,395,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848,263,448.80 : 191,772,395,173.20 = 127,848,263,448.80 : x
  2. Step 2: Convert to fraction form
    127,848,263,448.80/191,772,395,173.20 = 127,848,263,448.80/x
  3. Step 3: Cross multiply
    127,848,263,448.80x = 191,772,395,173.20 × 127,848,263,448.80
  4. Step 4: Simplify right side
    127,848,263,448.80x = 24,517,767,700,310,659,170,304
  5. Step 5: Solve for x
    x = 24,517,767,700,310,659,170,304/127,848,263,448.80
  6. Step 6: Final answer
    x = 191,772,395,173.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.