Finding the Fourth Proportional to 1,681,131,831,367.60, 2,319,964,164,549.50 and 910,381,852,306.20
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Solution
The fourth proportional to 1,681,131,831,367.60, 2,319,964,164,549.50 and 910,381,852,306.20 is: 1,256,328,167,725.21
Step by Step Solution
- Step 1: Write the proportion equation
1,681,131,831,367.60 : 2,319,964,164,549.50 = 910,381,852,306.20 : x - Step 2: Convert to fraction form
1,681,131,831,367.60/2,319,964,164,549.50 = 910,381,852,306.20/x - Step 3: Cross multiply
1,681,131,831,367.60x = 2,319,964,164,549.50 × 910,381,852,306.20 - Step 4: Simplify right side
1,681,131,831,367.60x = 2,112,053,273,406,579,465,519,104 - Step 5: Solve for x
x = 2,112,053,273,406,579,465,519,104/1,681,131,831,367.60 - Step 6: Final answer
x = 1,256,328,167,725.21
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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.