Finding the Fourth Proportional to 162,694,979,014.23, 243,810,705,649.64 and 119,863,034,260.13
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Solution
The fourth proportional to 162,694,979,014.23, 243,810,705,649.64 and 119,863,034,260.13 is: 179,623,803,643.71
Step by Step Solution
- Step 1: Write the proportion equation
162,694,979,014.23 : 243,810,705,649.64 = 119,863,034,260.13 : x - Step 2: Convert to fraction form
162,694,979,014.23/243,810,705,649.64 = 119,863,034,260.13/x - Step 3: Cross multiply
162,694,979,014.23x = 243,810,705,649.64 × 119,863,034,260.13 - Step 4: Simplify right side
162,694,979,014.23x = 29,223,890,964,269,271,875,584 - Step 5: Solve for x
x = 29,223,890,964,269,271,875,584/162,694,979,014.23 - Step 6: Final answer
x = 179,623,803,643.71
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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.