Finding the Fourth Proportional to 3,438,006,201.70, 5,157,009,302.55 and 984,343,104.70
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Solution
The fourth proportional to 3,438,006,201.70, 5,157,009,302.55 and 984,343,104.70 is: 1,476,514,657.05
Step by Step Solution
- Step 1: Write the proportion equation
3,438,006,201.70 : 5,157,009,302.55 = 984,343,104.70 : x - Step 2: Convert to fraction form
3,438,006,201.70/5,157,009,302.55 = 984,343,104.70/x - Step 3: Cross multiply
3,438,006,201.70x = 5,157,009,302.55 × 984,343,104.70 - Step 4: Simplify right side
3,438,006,201.70x = 5,076,266,547,838,849,024 - Step 5: Solve for x
x = 5,076,266,547,838,849,024/3,438,006,201.70 - Step 6: Final answer
x = 1,476,514,657.05
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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.