Finding the Fourth Proportional to 1,612,319,511,449.20, 2,225,000,840,696.40 and 870,726,275,973.65
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Solution
The fourth proportional to 1,612,319,511,449.20, 2,225,000,840,696.40 and 870,726,275,973.65 is: 1,201,602,214,883.86
Step by Step Solution
- Step 1: Write the proportion equation
1,612,319,511,449.20 : 2,225,000,840,696.40 = 870,726,275,973.65 : x - Step 2: Convert to fraction form
1,612,319,511,449.20/2,225,000,840,696.40 = 870,726,275,973.65/x - Step 3: Cross multiply
1,612,319,511,449.20x = 2,225,000,840,696.40 × 870,726,275,973.65 - Step 4: Simplify right side
1,612,319,511,449.20x = 1,937,366,696,057,816,882,348,032 - Step 5: Solve for x
x = 1,937,366,696,057,816,882,348,032/1,612,319,511,449.20 - Step 6: Final answer
x = 1,201,602,214,883.86
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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.