Finding the Fourth Proportional to 4,119,703,693,536, 6,180,486,516,184.50 and 1,362,905,247,483.20
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Solution
The fourth proportional to 4,119,703,693,536, 6,180,486,516,184.50 and 1,362,905,247,483.20 is: 2,044,665,862,286.10
Step by Step Solution
- Step 1: Write the proportion equation
4,119,703,693,536 : 6,180,486,516,184.50 = 1,362,905,247,483.20 : x - Step 2: Convert to fraction form
4,119,703,693,536/6,180,486,516,184.50 = 1,362,905,247,483.20/x - Step 3: Cross multiply
4,119,703,693,536x = 6,180,486,516,184.50 × 1,362,905,247,483.20 - Step 4: Simplify right side
4,119,703,693,536x = 8,423,417,504,907,016,779,333,632 - Step 5: Solve for x
x = 8,423,417,504,907,016,779,333,632/4,119,703,693,536 - Step 6: Final answer
x = 2,044,665,862,286.10
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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.