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Finding the Fourth Proportional to 264,552,642,003.90, 396,828,963,005.85 and 264,552,642,003.90

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Solution

The fourth proportional to 264,552,642,003.90, 396,828,963,005.85 and 264,552,642,003.90 is: 396,828,963,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,552,642,003.90 : 396,828,963,005.85 = 264,552,642,003.90 : x
  2. Step 2: Convert to fraction form
    264,552,642,003.90/396,828,963,005.85 = 264,552,642,003.90/x
  3. Step 3: Cross multiply
    264,552,642,003.90x = 396,828,963,005.85 × 264,552,642,003.90
  4. Step 4: Simplify right side
    264,552,642,003.90x = 104,982,150,586,865,507,368,960
  5. Step 5: Solve for x
    x = 104,982,150,586,865,507,368,960/264,552,642,003.90
  6. Step 6: Final answer
    x = 396,828,963,005.85

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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.