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Finding the Fourth Proportional to 2,457,846,963,007.30, 3,686,770,444,511 and 2,457,846,963,007.30

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Solution

The fourth proportional to 2,457,846,963,007.30, 3,686,770,444,511 and 2,457,846,963,007.30 is: 3,686,770,444,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,963,007.30 : 3,686,770,444,511 = 2,457,846,963,007.30 : x
  2. Step 2: Convert to fraction form
    2,457,846,963,007.30/3,686,770,444,511 = 2,457,846,963,007.30/x
  3. Step 3: Cross multiply
    2,457,846,963,007.30x = 3,686,770,444,511 × 2,457,846,963,007.30
  4. Step 4: Simplify right side
    2,457,846,963,007.30x = 9,061,517,540,346,433,860,796,416
  5. Step 5: Solve for x
    x = 9,061,517,540,346,433,860,796,416/2,457,846,963,007.30
  6. Step 6: Final answer
    x = 3,686,770,444,511

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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.