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Finding the Fourth Proportional to 1,218,269,223.14, 1,681,231,978.42 and 661,352,268.38

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Solution

The fourth proportional to 1,218,269,223.14, 1,681,231,978.42 and 661,352,268.38 is: 912,677,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,269,223.14 : 1,681,231,978.42 = 661,352,268.38 : x
  2. Step 2: Convert to fraction form
    1,218,269,223.14/1,681,231,978.42 = 661,352,268.38/x
  3. Step 3: Cross multiply
    1,218,269,223.14x = 1,681,231,978.42 × 661,352,268.38
  4. Step 4: Simplify right side
    1,218,269,223.14x = 1,111,886,582,591,002,624
  5. Step 5: Solve for x
    x = 1,111,886,582,591,002,624/1,218,269,223.14
  6. Step 6: Final answer
    x = 912,677,232.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.