Finding the Fourth Proportional to 517,355,880,973.36, 776,061,227,868.76 and 159,453,676,475.60
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Solution
The fourth proportional to 517,355,880,973.36, 776,061,227,868.76 and 159,453,676,475.60 is: 239,188,961,611.93
Step by Step Solution
- Step 1: Write the proportion equation
517,355,880,973.36 : 776,061,227,868.76 = 159,453,676,475.60 : x - Step 2: Convert to fraction form
517,355,880,973.36/776,061,227,868.76 = 159,453,676,475.60/x - Step 3: Cross multiply
517,355,880,973.36x = 776,061,227,868.76 × 159,453,676,475.60 - Step 4: Simplify right side
517,355,880,973.36x = 123,745,815,953,842,160,795,648 - Step 5: Solve for x
x = 123,745,815,953,842,160,795,648/517,355,880,973.36 - Step 6: Final answer
x = 239,188,961,611.93
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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.