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Finding the Fourth Proportional to 867,749,800.68, 1,197,568,578.32 and 491,473,325.00

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Solution

The fourth proportional to 867,749,800.68, 1,197,568,578.32 and 491,473,325.00 is: 678,275,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,749,800.68 : 1,197,568,578.32 = 491,473,325.00 : x
  2. Step 2: Convert to fraction form
    867,749,800.68/1,197,568,578.32 = 491,473,325.00/x
  3. Step 3: Cross multiply
    867,749,800.68x = 1,197,568,578.32 × 491,473,325.00
  4. Step 4: Simplify right side
    867,749,800.68x = 588,573,011,094,008,192
  5. Step 5: Solve for x
    x = 588,573,011,094,008,192/867,749,800.68
  6. Step 6: Final answer
    x = 678,275,017.33

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