Finding the Fourth Proportional to 849,227,470,715.05, 1,273,845,968,448.40 and 283,263,603,658.65
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Solution
The fourth proportional to 849,227,470,715.05, 1,273,845,968,448.40 and 283,263,603,658.65 is: 424,896,993,999.63
Step by Step Solution
- Step 1: Write the proportion equation
849,227,470,715.05 : 1,273,845,968,448.40 = 283,263,603,658.65 : x - Step 2: Convert to fraction form
849,227,470,715.05/1,273,845,968,448.40 = 283,263,603,658.65/x - Step 3: Cross multiply
849,227,470,715.05x = 1,273,845,968,448.40 × 283,263,603,658.65 - Step 4: Simplify right side
849,227,470,715.05x = 360,834,199,528,736,729,071,616 - Step 5: Solve for x
x = 360,834,199,528,736,729,071,616/849,227,470,715.05 - Step 6: Final answer
x = 424,896,993,999.63
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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.