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Finding the Fourth Proportional to 150,611,856,534.90, 225,917,784,802.35 and 150,611,856,534.90

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Solution

The fourth proportional to 150,611,856,534.90, 225,917,784,802.35 and 150,611,856,534.90 is: 225,917,784,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,611,856,534.90 : 225,917,784,802.35 = 150,611,856,534.90 : x
  2. Step 2: Convert to fraction form
    150,611,856,534.90/225,917,784,802.35 = 150,611,856,534.90/x
  3. Step 3: Cross multiply
    150,611,856,534.90x = 225,917,784,802.35 × 150,611,856,534.90
  4. Step 4: Simplify right side
    150,611,856,534.90x = 34,025,896,993,333,950,021,632
  5. Step 5: Solve for x
    x = 34,025,896,993,333,950,021,632/150,611,856,534.90
  6. Step 6: Final answer
    x = 225,917,784,802.35

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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.