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Finding the Fourth Proportional to 264,224,593,977.45, 396,336,890,966.16 and 264,224,593,977.45

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Solution

The fourth proportional to 264,224,593,977.45, 396,336,890,966.16 and 264,224,593,977.45 is: 396,336,890,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,593,977.45 : 396,336,890,966.16 = 264,224,593,977.45 : x
  2. Step 2: Convert to fraction form
    264,224,593,977.45/396,336,890,966.16 = 264,224,593,977.45/x
  3. Step 3: Cross multiply
    264,224,593,977.45x = 396,336,890,966.16 × 264,224,593,977.45
  4. Step 4: Simplify right side
    264,224,593,977.45x = 104,721,954,093,818,487,767,040
  5. Step 5: Solve for x
    x = 104,721,954,093,818,487,767,040/264,224,593,977.45
  6. Step 6: Final answer
    x = 396,336,890,966.16

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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.