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Finding the Fourth Proportional to 147,224,077,420.20, 220,836,116,130.30 and 147,224,077,420.20

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Solution

The fourth proportional to 147,224,077,420.20, 220,836,116,130.30 and 147,224,077,420.20 is: 220,836,116,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,077,420.20 : 220,836,116,130.30 = 147,224,077,420.20 : x
  2. Step 2: Convert to fraction form
    147,224,077,420.20/220,836,116,130.30 = 147,224,077,420.20/x
  3. Step 3: Cross multiply
    147,224,077,420.20x = 220,836,116,130.30 × 147,224,077,420.20
  4. Step 4: Simplify right side
    147,224,077,420.20x = 32,512,393,458,343,567,425,536
  5. Step 5: Solve for x
    x = 32,512,393,458,343,567,425,536/147,224,077,420.20
  6. Step 6: Final answer
    x = 220,836,116,130.30

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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.