Finding the Fourth Proportional to 48,303,998,276,815, 72,466,174,816,398 and 15,665,214,386,083
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Solution
The fourth proportional to 48,303,998,276,815, 72,466,174,816,398 and 15,665,214,386,083 is: 23,501,122,158,310.38
Step by Step Solution
- Step 1: Write the proportion equation
48,303,998,276,815 : 72,466,174,816,398 = 15,665,214,386,083 : x - Step 2: Convert to fraction form
48,303,998,276,815/72,466,174,816,398 = 15,665,214,386,083/x - Step 3: Cross multiply
48,303,998,276,815x = 72,466,174,816,398 × 15,665,214,386,083 - Step 4: Simplify right side
48,303,998,276,815x = 1,135,198,164,238,243,492,779,786,240 - Step 5: Solve for x
x = 1,135,198,164,238,243,492,779,786,240/48,303,998,276,815 - Step 6: Final answer
x = 23,501,122,158,310.38
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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.