Finding the Fourth Proportional to 1,780,657,508,026.50, 2,658,995,286,702.90 and 1,454,205,284,355
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Solution
The fourth proportional to 1,780,657,508,026.50, 2,658,995,286,702.90 and 1,454,205,284,355 is: 2,171,515,285,544.09
Step by Step Solution
- Step 1: Write the proportion equation
1,780,657,508,026.50 : 2,658,995,286,702.90 = 1,454,205,284,355 : x - Step 2: Convert to fraction form
1,780,657,508,026.50/2,658,995,286,702.90 = 1,454,205,284,355/x - Step 3: Cross multiply
1,780,657,508,026.50x = 2,658,995,286,702.90 × 1,454,205,284,355 - Step 4: Simplify right side
1,780,657,508,026.50x = 3,866,724,996,998,395,357,822,976 - Step 5: Solve for x
x = 3,866,724,996,998,395,357,822,976/1,780,657,508,026.50 - Step 6: Final answer
x = 2,171,515,285,544.09
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.