Finding the Fourth Proportional to 1,509,737,679,966.20, 2,264,614,985,915.40 and 503,579,694,088.15
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Solution
The fourth proportional to 1,509,737,679,966.20, 2,264,614,985,915.40 and 503,579,694,088.15 is: 755,372,364,992.74
Step by Step Solution
- Step 1: Write the proportion equation
1,509,737,679,966.20 : 2,264,614,985,915.40 = 503,579,694,088.15 : x - Step 2: Convert to fraction form
1,509,737,679,966.20/2,264,614,985,915.40 = 503,579,694,088.15/x - Step 3: Cross multiply
1,509,737,679,966.20x = 2,264,614,985,915.40 × 503,579,694,088.15 - Step 4: Simplify right side
1,509,737,679,966.20x = 1,140,414,121,834,717,263,167,488 - Step 5: Solve for x
x = 1,140,414,121,834,717,263,167,488/1,509,737,679,966.20 - Step 6: Final answer
x = 755,372,364,992.74
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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.