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Finding the Fourth Proportional to 72,669,700,896.30, 109,004,551,344.45 and 72,669,700,896.30

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Solution

The fourth proportional to 72,669,700,896.30, 109,004,551,344.45 and 72,669,700,896.30 is: 109,004,551,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,669,700,896.30 : 109,004,551,344.45 = 72,669,700,896.30 : x
  2. Step 2: Convert to fraction form
    72,669,700,896.30/109,004,551,344.45 = 72,669,700,896.30/x
  3. Step 3: Cross multiply
    72,669,700,896.30x = 109,004,551,344.45 × 72,669,700,896.30
  4. Step 4: Simplify right side
    72,669,700,896.30x = 7,921,328,142,536,557,985,792
  5. Step 5: Solve for x
    x = 7,921,328,142,536,557,985,792/72,669,700,896.30
  6. Step 6: Final answer
    x = 109,004,551,344.45

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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.