Finding the Fourth Proportional to 2,506,743,268,121.80, 3,760,852,627,058.70 and 808,824,475,773.63
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Solution
The fourth proportional to 2,506,743,268,121.80, 3,760,852,627,058.70 and 808,824,475,773.63 is: 1,213,474,747,584.26
Step by Step Solution
- Step 1: Write the proportion equation
2,506,743,268,121.80 : 3,760,852,627,058.70 = 808,824,475,773.63 : x - Step 2: Convert to fraction form
2,506,743,268,121.80/3,760,852,627,058.70 = 808,824,475,773.63/x - Step 3: Cross multiply
2,506,743,268,121.80x = 3,760,852,627,058.70 × 808,824,475,773.63 - Step 4: Simplify right side
2,506,743,268,121.80x = 3,041,869,654,542,632,272,003,072 - Step 5: Solve for x
x = 3,041,869,654,542,632,272,003,072/2,506,743,268,121.80 - Step 6: Final answer
x = 1,213,474,747,584.26
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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.