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Finding the Fourth Proportional to 590,400,750.75, 814,747,672.14 and 322,476,527.51

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Solution

The fourth proportional to 590,400,750.75, 814,747,672.14 and 322,476,527.51 is: 445,014,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,400,750.75 : 814,747,672.14 = 322,476,527.51 : x
  2. Step 2: Convert to fraction form
    590,400,750.75/814,747,672.14 = 322,476,527.51/x
  3. Step 3: Cross multiply
    590,400,750.75x = 814,747,672.14 × 322,476,527.51
  4. Step 4: Simplify right side
    590,400,750.75x = 262,737,000,108,563,168
  5. Step 5: Solve for x
    x = 262,737,000,108,563,168/590,400,750.75
  6. Step 6: Final answer
    x = 445,014,678.21

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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.