Finding the Fourth Proportional to 2,807,731,687,750.40, 4,208,658,079,029.60 and 1,175,012,639,602
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Solution
The fourth proportional to 2,807,731,687,750.40, 4,208,658,079,029.60 and 1,175,012,639,602 is: 1,761,288,822,645.67
Step by Step Solution
- Step 1: Write the proportion equation
2,807,731,687,750.40 : 4,208,658,079,029.60 = 1,175,012,639,602 : x - Step 2: Convert to fraction form
2,807,731,687,750.40/4,208,658,079,029.60 = 1,175,012,639,602/x - Step 3: Cross multiply
2,807,731,687,750.40x = 4,208,658,079,029.60 × 1,175,012,639,602 - Step 4: Simplify right side
2,807,731,687,750.40x = 4,945,226,438,622,852,893,638,656 - Step 5: Solve for x
x = 4,945,226,438,622,852,893,638,656/2,807,731,687,750.40 - Step 6: Final answer
x = 1,761,288,822,645.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.