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Finding the Fourth Proportional to 489,644,998.40, 734,467,497.60 and 334,676,802.80

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Solution

The fourth proportional to 489,644,998.40, 734,467,497.60 and 334,676,802.80 is: 502,015,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,644,998.40 : 734,467,497.60 = 334,676,802.80 : x
  2. Step 2: Convert to fraction form
    489,644,998.40/734,467,497.60 = 334,676,802.80/x
  3. Step 3: Cross multiply
    489,644,998.40x = 734,467,497.60 × 334,676,802.80
  4. Step 4: Simplify right side
    489,644,998.40x = 245,809,233,857,284,704
  5. Step 5: Solve for x
    x = 245,809,233,857,284,704/489,644,998.40
  6. Step 6: Final answer
    x = 502,015,204.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.