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Finding the Fourth Proportional to 489,642,002.90, 686,405,796.70 and 489,642,002.90

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Solution

The fourth proportional to 489,642,002.90, 686,405,796.70 and 489,642,002.90 is: 686,405,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,642,002.90 : 686,405,796.70 = 489,642,002.90 : x
  2. Step 2: Convert to fraction form
    489,642,002.90/686,405,796.70 = 489,642,002.90/x
  3. Step 3: Cross multiply
    489,642,002.90x = 686,405,796.70 × 489,642,002.90
  4. Step 4: Simplify right side
    489,642,002.90x = 336,093,109,098,358,208
  5. Step 5: Solve for x
    x = 336,093,109,098,358,208/489,642,002.90
  6. Step 6: Final answer
    x = 686,405,796.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.