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Finding the Fourth Proportional to 163,315,022,812.30, 244,972,534,218.45 and 163,315,022,812.30

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Solution

The fourth proportional to 163,315,022,812.30, 244,972,534,218.45 and 163,315,022,812.30 is: 244,972,534,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315,022,812.30 : 244,972,534,218.45 = 163,315,022,812.30 : x
  2. Step 2: Convert to fraction form
    163,315,022,812.30/244,972,534,218.45 = 163,315,022,812.30/x
  3. Step 3: Cross multiply
    163,315,022,812.30x = 244,972,534,218.45 × 163,315,022,812.30
  4. Step 4: Simplify right side
    163,315,022,812.30x = 40,007,695,014,273,105,264,640
  5. Step 5: Solve for x
    x = 40,007,695,014,273,105,264,640/163,315,022,812.30
  6. Step 6: Final answer
    x = 244,972,534,218.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.