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Finding the Fourth Proportional to 702,085,914.08, 968,412,041.33 and 451,507,110.42

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Solution

The fourth proportional to 702,085,914.08, 968,412,041.33 and 451,507,110.42 is: 622,779,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,085,914.08 : 968,412,041.33 = 451,507,110.42 : x
  2. Step 2: Convert to fraction form
    702,085,914.08/968,412,041.33 = 451,507,110.42/x
  3. Step 3: Cross multiply
    702,085,914.08x = 968,412,041.33 × 451,507,110.42
  4. Step 4: Simplify right side
    702,085,914.08x = 437,244,922,474,584,384
  5. Step 5: Solve for x
    x = 437,244,922,474,584,384/702,085,914.08
  6. Step 6: Final answer
    x = 622,779,796.19

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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.