Finding the Fourth Proportional to 4,749,144,905, 7,124,205,495.74 and 1,643,722,478.12
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Solution
The fourth proportional to 4,749,144,905, 7,124,205,495.74 and 1,643,722,478.12 is: 2,465,752,666.29
Step by Step Solution
- Step 1: Write the proportion equation
4,749,144,905 : 7,124,205,495.74 = 1,643,722,478.12 : x - Step 2: Convert to fraction form
4,749,144,905/7,124,205,495.74 = 1,643,722,478.12/x - Step 3: Cross multiply
4,749,144,905x = 7,124,205,495.74 × 1,643,722,478.12 - Step 4: Simplify right side
4,749,144,905x = 11,710,216,712,093,874,176 - Step 5: Solve for x
x = 11,710,216,712,093,874,176/4,749,144,905 - Step 6: Final answer
x = 2,465,752,666.29
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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.