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Finding the Fourth Proportional to 949,968,004.05, 1,424,952,006.08 and 949,968,004.05

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Solution

The fourth proportional to 949,968,004.05, 1,424,952,006.08 and 949,968,004.05 is: 1,424,952,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,968,004.05 : 1,424,952,006.08 = 949,968,004.05 : x
  2. Step 2: Convert to fraction form
    949,968,004.05/1,424,952,006.08 = 949,968,004.05/x
  3. Step 3: Cross multiply
    949,968,004.05x = 1,424,952,006.08 × 949,968,004.05
  4. Step 4: Simplify right side
    949,968,004.05x = 1,353,658,813,078,111,232
  5. Step 5: Solve for x
    x = 1,353,658,813,078,111,232/949,968,004.05
  6. Step 6: Final answer
    x = 1,424,952,006.08

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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.