Finding the Fourth Proportional to 7,772,785,637,780, 10,726,781,357,978 and 4,304,404,750,445
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Solution
The fourth proportional to 7,772,785,637,780, 10,726,781,357,978 and 4,304,404,750,445 is: 5,940,265,277,591.36
Step by Step Solution
- Step 1: Write the proportion equation
7,772,785,637,780 : 10,726,781,357,978 = 4,304,404,750,445 : x - Step 2: Convert to fraction form
7,772,785,637,780/10,726,781,357,978 = 4,304,404,750,445/x - Step 3: Cross multiply
7,772,785,637,780x = 10,726,781,357,978 × 4,304,404,750,445 - Step 4: Simplify right side
7,772,785,637,780x = 46,172,408,634,265,371,592,884,224 - Step 5: Solve for x
x = 46,172,408,634,265,371,592,884,224/7,772,785,637,780 - Step 6: Final answer
x = 5,940,265,277,591.36
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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.