Finding the Fourth Proportional to 68,807,499,834,488, 94,954,387,863,242 and 37,166,191,336,792
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Solution
The fourth proportional to 68,807,499,834,488, 94,954,387,863,242 and 37,166,191,336,792 is: 51,289,364,619,877.45
Step by Step Solution
- Step 1: Write the proportion equation
68,807,499,834,488 : 94,954,387,863,242 = 37,166,191,336,792 : x - Step 2: Convert to fraction form
68,807,499,834,488/94,954,387,863,242 = 37,166,191,336,792/x - Step 3: Cross multiply
68,807,499,834,488x = 94,954,387,863,242 × 37,166,191,336,792 - Step 4: Simplify right side
68,807,499,834,488x = 3,529,092,947,593,212,427,719,671,808 - Step 5: Solve for x
x = 3,529,092,947,593,212,427,719,671,808/68,807,499,834,488 - Step 6: Final answer
x = 51,289,364,619,877.45
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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.