Finding the Fourth Proportional to 48,942,202,623,431, 73,377,111,970,602 and 29,597,908,630,119
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Solution
The fourth proportional to 48,942,202,623,431, 73,377,111,970,602 and 29,597,908,630,119 is: 44,374,975,772,098.55
Step by Step Solution
- Step 1: Write the proportion equation
48,942,202,623,431 : 73,377,111,970,602 = 29,597,908,630,119 : x - Step 2: Convert to fraction form
48,942,202,623,431/73,377,111,970,602 = 29,597,908,630,119/x - Step 3: Cross multiply
48,942,202,623,431x = 73,377,111,970,602 × 29,597,908,630,119 - Step 4: Simplify right side
48,942,202,623,431x = 2,171,809,055,647,889,039,795,683,328 - Step 5: Solve for x
x = 2,171,809,055,647,889,039,795,683,328/48,942,202,623,431 - Step 6: Final answer
x = 44,374,975,772,098.55
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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.