Finding the Fourth Proportional to 264,216,913,866.27, 396,163,173,359.28 and 102,679,705,826.99
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Solution
The fourth proportional to 264,216,913,866.27, 396,163,173,359.28 and 102,679,705,826.99 is: 153,956,525,737.81
Step by Step Solution
- Step 1: Write the proportion equation
264,216,913,866.27 : 396,163,173,359.28 = 102,679,705,826.99 : x - Step 2: Convert to fraction form
264,216,913,866.27/396,163,173,359.28 = 102,679,705,826.99/x - Step 3: Cross multiply
264,216,913,866.27x = 396,163,173,359.28 × 102,679,705,826.99 - Step 4: Simplify right side
264,216,913,866.27x = 40,677,918,100,017,721,114,624 - Step 5: Solve for x
x = 40,677,918,100,017,721,114,624/264,216,913,866.27 - Step 6: Final answer
x = 153,956,525,737.81
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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.