Finding the Fourth Proportional to 1,681,131,831,368.10, 2,319,964,164,550.20 and 910,381,852,306.70
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Solution
The fourth proportional to 1,681,131,831,368.10, 2,319,964,164,550.20 and 910,381,852,306.70 is: 1,256,328,167,725.90
Step by Step Solution
- Step 1: Write the proportion equation
1,681,131,831,368.10 : 2,319,964,164,550.20 = 910,381,852,306.70 : x - Step 2: Convert to fraction form
1,681,131,831,368.10/2,319,964,164,550.20 = 910,381,852,306.70/x - Step 3: Cross multiply
1,681,131,831,368.10x = 2,319,964,164,550.20 × 910,381,852,306.70 - Step 4: Simplify right side
1,681,131,831,368.10x = 2,112,053,273,408,376,909,332,480 - Step 5: Solve for x
x = 2,112,053,273,408,376,909,332,480/1,681,131,831,368.10 - Step 6: Final answer
x = 1,256,328,167,725.90
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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.