Finding the Fourth Proportional to 159,276,629,809.99, 219,801,837,325.92 and 86,032,860,179.48
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Solution
The fourth proportional to 159,276,629,809.99, 219,801,837,325.92 and 86,032,860,179.48 is: 118,725,394,682.28
Step by Step Solution
- Step 1: Write the proportion equation
159,276,629,809.99 : 219,801,837,325.92 = 86,032,860,179.48 : x - Step 2: Convert to fraction form
159,276,629,809.99/219,801,837,325.92 = 86,032,860,179.48/x - Step 3: Cross multiply
159,276,629,809.99x = 219,801,837,325.92 × 86,032,860,179.48 - Step 4: Simplify right side
159,276,629,809.99x = 18,910,180,737,853,683,662,848 - Step 5: Solve for x
x = 18,910,180,737,853,683,662,848/159,276,629,809.99 - Step 6: Final answer
x = 118,725,394,682.28
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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.