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Finding the Fourth Proportional to 1,618,003,939.52, 2,232,829,540.32 and 875,431,709.12

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Solution

The fourth proportional to 1,618,003,939.52, 2,232,829,540.32 and 875,431,709.12 is: 1,208,087,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,003,939.52 : 2,232,829,540.32 = 875,431,709.12 : x
  2. Step 2: Convert to fraction form
    1,618,003,939.52/2,232,829,540.32 = 875,431,709.12/x
  3. Step 3: Cross multiply
    1,618,003,939.52x = 2,232,829,540.32 × 875,431,709.12
  4. Step 4: Simplify right side
    1,618,003,939.52x = 1,954,689,780,655,961,600
  5. Step 5: Solve for x
    x = 1,954,689,780,655,961,600/1,618,003,939.52
  6. Step 6: Final answer
    x = 1,208,087,157.83

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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.