Finding the Fourth Proportional to 1,681,131,831,250.40, 2,319,964,164,387.50 and 910,381,852,189.05
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Solution
The fourth proportional to 1,681,131,831,250.40, 2,319,964,164,387.50 and 910,381,852,189.05 is: 1,256,328,167,563.40
Step by Step Solution
- Step 1: Write the proportion equation
1,681,131,831,250.40 : 2,319,964,164,387.50 = 910,381,852,189.05 : x - Step 2: Convert to fraction form
1,681,131,831,250.40/2,319,964,164,387.50 = 910,381,852,189.05/x - Step 3: Cross multiply
1,681,131,831,250.40x = 2,319,964,164,387.50 × 910,381,852,189.05 - Step 4: Simplify right side
1,681,131,831,250.40x = 2,112,053,272,987,314,153,324,544 - Step 5: Solve for x
x = 2,112,053,272,987,314,153,324,544/1,681,131,831,250.40 - Step 6: Final answer
x = 1,256,328,167,563.40
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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.