Finding the Fourth Proportional to 1,413,125,920.12, 2,120,595,872.88 and 685,717,822.84
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Solution
The fourth proportional to 1,413,125,920.12, 2,120,595,872.88 and 685,717,822.84 is: 1,029,016,851.49
Step by Step Solution
- Step 1: Write the proportion equation
1,413,125,920.12 : 2,120,595,872.88 = 685,717,822.84 : x - Step 2: Convert to fraction form
1,413,125,920.12/2,120,595,872.88 = 685,717,822.84/x - Step 3: Cross multiply
1,413,125,920.12x = 2,120,595,872.88 × 685,717,822.84 - Step 4: Simplify right side
1,413,125,920.12x = 1,454,130,385,074,763,264 - Step 5: Solve for x
x = 1,454,130,385,074,763,264/1,413,125,920.12 - Step 6: Final answer
x = 1,029,016,851.49
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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.