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Finding the Fourth Proportional to 103,464,783,082.20, 155,197,174,623.30 and 103,464,783,082.20

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Solution

The fourth proportional to 103,464,783,082.20, 155,197,174,623.30 and 103,464,783,082.20 is: 155,197,174,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464,783,082.20 : 155,197,174,623.30 = 103,464,783,082.20 : x
  2. Step 2: Convert to fraction form
    103,464,783,082.20/155,197,174,623.30 = 103,464,783,082.20/x
  3. Step 3: Cross multiply
    103,464,783,082.20x = 155,197,174,623.30 × 103,464,783,082.20
  4. Step 4: Simplify right side
    103,464,783,082.20x = 16,057,442,007,370,046,636,032
  5. Step 5: Solve for x
    x = 16,057,442,007,370,046,636,032/103,464,783,082.20
  6. Step 6: Final answer
    x = 155,197,174,623.30

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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.