Finding the Fourth Proportional to 7,772,785,637,769.40, 10,726,781,357,961 and 4,304,404,750,433
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Solution
The fourth proportional to 7,772,785,637,769.40, 10,726,781,357,961 and 4,304,404,750,433 is: 5,940,265,277,573.49
Step by Step Solution
- Step 1: Write the proportion equation
7,772,785,637,769.40 : 10,726,781,357,961 = 4,304,404,750,433 : x - Step 2: Convert to fraction form
7,772,785,637,769.40/10,726,781,357,961 = 4,304,404,750,433/x - Step 3: Cross multiply
7,772,785,637,769.40x = 10,726,781,357,961 × 4,304,404,750,433 - Step 4: Simplify right side
7,772,785,637,769.40x = 46,172,408,634,063,473,770,233,856 - Step 5: Solve for x
x = 46,172,408,634,063,473,770,233,856/7,772,785,637,769.40 - Step 6: Final answer
x = 5,940,265,277,573.49
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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.