Finding the Fourth Proportional to 855,271,393,115.09, 1,180,375,706,086.70 and 508,043,043,877.02
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Solution
The fourth proportional to 855,271,393,115.09, 1,180,375,706,086.70 and 508,043,043,877.02 is: 701,159,505,001.80
Step by Step Solution
- Step 1: Write the proportion equation
855,271,393,115.09 : 1,180,375,706,086.70 = 508,043,043,877.02 : x - Step 2: Convert to fraction form
855,271,393,115.09/1,180,375,706,086.70 = 508,043,043,877.02/x - Step 3: Cross multiply
855,271,393,115.09x = 1,180,375,706,086.70 × 508,043,043,877.02 - Step 4: Simplify right side
855,271,393,115.09x = 599,681,666,638,773,812,723,712 - Step 5: Solve for x
x = 599,681,666,638,773,812,723,712/855,271,393,115.09 - Step 6: Final answer
x = 701,159,505,001.80
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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.