Finding the Fourth Proportional to 74,583,823,653.98, 102,944,826,974.42 and 48,576,995,652.28
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Solution
The fourth proportional to 74,583,823,653.98, 102,944,826,974.42 and 48,576,995,652.28 is: 67,048,726,752.89
Step by Step Solution
- Step 1: Write the proportion equation
74,583,823,653.98 : 102,944,826,974.42 = 48,576,995,652.28 : x - Step 2: Convert to fraction form
74,583,823,653.98/102,944,826,974.42 = 48,576,995,652.28/x - Step 3: Cross multiply
74,583,823,653.98x = 102,944,826,974.42 × 48,576,995,652.28 - Step 4: Simplify right side
74,583,823,653.98x = 5,000,750,412,361,116,942,336 - Step 5: Solve for x
x = 5,000,750,412,361,116,942,336/74,583,823,653.98 - Step 6: Final answer
x = 67,048,726,752.89
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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.