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Finding the Fourth Proportional to 264,224,603,959.70, 396,336,905,939.55 and 264,224,603,959.70

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Solution

The fourth proportional to 264,224,603,959.70, 396,336,905,939.55 and 264,224,603,959.70 is: 396,336,905,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,603,959.70 : 396,336,905,939.55 = 264,224,603,959.70 : x
  2. Step 2: Convert to fraction form
    264,224,603,959.70/396,336,905,939.55 = 264,224,603,959.70/x
  3. Step 3: Cross multiply
    264,224,603,959.70x = 396,336,905,939.55 × 264,224,603,959.70
  4. Step 4: Simplify right side
    264,224,603,959.70x = 104,721,962,006,490,474,610,688
  5. Step 5: Solve for x
    x = 104,721,962,006,490,474,610,688/264,224,603,959.70
  6. Step 6: Final answer
    x = 396,336,905,939.55

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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.