Finding the Fourth Proportional to 1,490,380,998,946.10, 2,056,725,782,506.80 and 805,268,724,906.80
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Solution
The fourth proportional to 1,490,380,998,946.10, 2,056,725,782,506.80 and 805,268,724,906.80 is: 1,111,270,842,511.65
Step by Step Solution
- Step 1: Write the proportion equation
1,490,380,998,946.10 : 2,056,725,782,506.80 = 805,268,724,906.80 : x - Step 2: Convert to fraction form
1,490,380,998,946.10/2,056,725,782,506.80 = 805,268,724,906.80/x - Step 3: Cross multiply
1,490,380,998,946.10x = 2,056,725,782,506.80 × 805,268,724,906.80 - Step 4: Simplify right side
1,490,380,998,946.10x = 1,656,216,948,362,191,531,147,264 - Step 5: Solve for x
x = 1,656,216,948,362,191,531,147,264/1,490,380,998,946.10 - Step 6: Final answer
x = 1,111,270,842,511.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.