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Finding the Fourth Proportional to 147,224,077,427.70, 220,836,116,141.55 and 147,224,077,427.70

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Solution

The fourth proportional to 147,224,077,427.70, 220,836,116,141.55 and 147,224,077,427.70 is: 220,836,116,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,077,427.70 : 220,836,116,141.55 = 147,224,077,427.70 : x
  2. Step 2: Convert to fraction form
    147,224,077,427.70/220,836,116,141.55 = 147,224,077,427.70/x
  3. Step 3: Cross multiply
    147,224,077,427.70x = 220,836,116,141.55 × 147,224,077,427.70
  4. Step 4: Simplify right side
    147,224,077,427.70x = 32,512,393,461,656,107,089,920
  5. Step 5: Solve for x
    x = 32,512,393,461,656,107,089,920/147,224,077,427.70
  6. Step 6: Final answer
    x = 220,836,116,141.55

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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.