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Finding the Fourth Proportional to 1,080,300,573.81, 1,490,816,304.60 and 585,263,282.31

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Solution

The fourth proportional to 1,080,300,573.81, 1,490,816,304.60 and 585,263,282.31 is: 807,664,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,300,573.81 : 1,490,816,304.60 = 585,263,282.31 : x
  2. Step 2: Convert to fraction form
    1,080,300,573.81/1,490,816,304.60 = 585,263,282.31/x
  3. Step 3: Cross multiply
    1,080,300,573.81x = 1,490,816,304.60 × 585,263,282.31
  4. Step 4: Simplify right side
    1,080,300,573.81x = 872,520,043,751,460,608
  5. Step 5: Solve for x
    x = 872,520,043,751,460,608/1,080,300,573.81
  6. Step 6: Final answer
    x = 807,664,149.13

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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.