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Finding the Fourth Proportional to 657,525,796.54, 986,334,709.32 and 264,052,559.08

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Solution

The fourth proportional to 657,525,796.54, 986,334,709.32 and 264,052,559.08 is: 396,097,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,525,796.54 : 986,334,709.32 = 264,052,559.08 : x
  2. Step 2: Convert to fraction form
    657,525,796.54/986,334,709.32 = 264,052,559.08/x
  3. Step 3: Cross multiply
    657,525,796.54x = 986,334,709.32 × 264,052,559.08
  4. Step 4: Simplify right side
    657,525,796.54x = 260,444,204,105,373,952
  5. Step 5: Solve for x
    x = 260,444,204,105,373,952/657,525,796.54
  6. Step 6: Final answer
    x = 396,097,317.36

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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.