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Finding the Fourth Proportional to 867,749,800.18, 1,197,568,577.62 and 491,473,324.50

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Solution

The fourth proportional to 867,749,800.18, 1,197,568,577.62 and 491,473,324.50 is: 678,275,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,749,800.18 : 1,197,568,577.62 = 491,473,324.50 : x
  2. Step 2: Convert to fraction form
    867,749,800.18/1,197,568,577.62 = 491,473,324.50/x
  3. Step 3: Cross multiply
    867,749,800.18x = 1,197,568,577.62 × 491,473,324.50
  4. Step 4: Simplify right side
    867,749,800.18x = 588,573,010,159,637,632
  5. Step 5: Solve for x
    x = 588,573,010,159,637,632/867,749,800.18
  6. Step 6: Final answer
    x = 678,275,016.64

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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.