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Finding the Fourth Proportional to 851,306,403.24, 1,174,802,316.84 and 460,165,827.24

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Solution

The fourth proportional to 851,306,403.24, 1,174,802,316.84 and 460,165,827.24 is: 635,028,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,306,403.24 : 1,174,802,316.84 = 460,165,827.24 : x
  2. Step 2: Convert to fraction form
    851,306,403.24/1,174,802,316.84 = 460,165,827.24/x
  3. Step 3: Cross multiply
    851,306,403.24x = 1,174,802,316.84 × 460,165,827.24
  4. Step 4: Simplify right side
    851,306,403.24x = 540,603,879,972,147,136
  5. Step 5: Solve for x
    x = 540,603,879,972,147,136/851,306,403.24
  6. Step 6: Final answer
    x = 635,028,560.71

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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.