Finding the Fourth Proportional to 662,703,402,350.97, 914,553,260,204.10 and 384,584,432,880.21
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Solution
The fourth proportional to 662,703,402,350.97, 914,553,260,204.10 and 384,584,432,880.21 is: 530,739,612,421.77
Step by Step Solution
- Step 1: Write the proportion equation
662,703,402,350.97 : 914,553,260,204.10 = 384,584,432,880.21 : x - Step 2: Convert to fraction form
662,703,402,350.97/914,553,260,204.10 = 384,584,432,880.21/x - Step 3: Cross multiply
662,703,402,350.97x = 914,553,260,204.10 × 384,584,432,880.21 - Step 4: Simplify right side
662,703,402,350.97x = 351,722,946,914,340,908,826,624 - Step 5: Solve for x
x = 351,722,946,914,340,908,826,624/662,703,402,350.97 - Step 6: Final answer
x = 530,739,612,421.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.