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Finding the Fourth Proportional to 220,836,116,130.30, 331,254,174,195.45 and 220,836,116,130.30

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Solution

The fourth proportional to 220,836,116,130.30, 331,254,174,195.45 and 220,836,116,130.30 is: 331,254,174,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,836,116,130.30 : 331,254,174,195.45 = 220,836,116,130.30 : x
  2. Step 2: Convert to fraction form
    220,836,116,130.30/331,254,174,195.45 = 220,836,116,130.30/x
  3. Step 3: Cross multiply
    220,836,116,130.30x = 331,254,174,195.45 × 220,836,116,130.30
  4. Step 4: Simplify right side
    220,836,116,130.30x = 73,152,885,281,273,017,270,272
  5. Step 5: Solve for x
    x = 73,152,885,281,273,017,270,272/220,836,116,130.30
  6. Step 6: Final answer
    x = 331,254,174,195.45

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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.