Finding the Fourth Proportional to 7,542,838,159,734.80, 11,314,257,226,817 and 1,812,469,737,179.10
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Solution
The fourth proportional to 7,542,838,159,734.80, 11,314,257,226,817 and 1,812,469,737,179.10 is: 2,718,704,602,696.49
Step by Step Solution
- Step 1: Write the proportion equation
7,542,838,159,734.80 : 11,314,257,226,817 = 1,812,469,737,179.10 : x - Step 2: Convert to fraction form
7,542,838,159,734.80/11,314,257,226,817 = 1,812,469,737,179.10/x - Step 3: Cross multiply
7,542,838,159,734.80x = 11,314,257,226,817 × 1,812,469,737,179.10 - Step 4: Simplify right side
7,542,838,159,734.80x = 20,506,748,822,265,743,420,686,336 - Step 5: Solve for x
x = 20,506,748,822,265,743,420,686,336/7,542,838,159,734.80 - Step 6: Final answer
x = 2,718,704,602,696.49
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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.