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Finding the Fourth Proportional to 590,976,802.80, 886,465,204.20 and 397,485,039.60

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Solution

The fourth proportional to 590,976,802.80, 886,465,204.20 and 397,485,039.60 is: 596,227,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,802.80 : 886,465,204.20 = 397,485,039.60 : x
  2. Step 2: Convert to fraction form
    590,976,802.80/886,465,204.20 = 397,485,039.60/x
  3. Step 3: Cross multiply
    590,976,802.80x = 886,465,204.20 × 397,485,039.60
  4. Step 4: Simplify right side
    590,976,802.80x = 352,356,656,795,459,136
  5. Step 5: Solve for x
    x = 352,356,656,795,459,136/590,976,802.80
  6. Step 6: Final answer
    x = 596,227,559.40

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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.