Finding the Fourth Proportional to 1,690,432,514,822, 2,332,668,846,974.80 and 948,696,097,328.70
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Solution
The fourth proportional to 1,690,432,514,822, 2,332,668,846,974.80 and 948,696,097,328.70 is: 1,309,128,765,615.50
Step by Step Solution
- Step 1: Write the proportion equation
1,690,432,514,822 : 2,332,668,846,974.80 = 948,696,097,328.70 : x - Step 2: Convert to fraction form
1,690,432,514,822/2,332,668,846,974.80 = 948,696,097,328.70/x - Step 3: Cross multiply
1,690,432,514,822x = 2,332,668,846,974.80 × 948,696,097,328.70 - Step 4: Simplify right side
1,690,432,514,822x = 2,212,993,831,485,231,014,608,896 - Step 5: Solve for x
x = 2,212,993,831,485,231,014,608,896/1,690,432,514,822 - Step 6: Final answer
x = 1,309,128,765,615.50
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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.