Finding the Fourth Proportional to 9,656,165,784,498.90, 14,484,247,877,934 and 2,678,035,995,757.80
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Solution
The fourth proportional to 9,656,165,784,498.90, 14,484,247,877,934 and 2,678,035,995,757.80 is: 4,017,053,772,093.94
Step by Step Solution
- Step 1: Write the proportion equation
9,656,165,784,498.90 : 14,484,247,877,934 = 2,678,035,995,757.80 : x - Step 2: Convert to fraction form
9,656,165,784,498.90/14,484,247,877,934 = 2,678,035,995,757.80/x - Step 3: Cross multiply
9,656,165,784,498.90x = 14,484,247,877,934 × 2,678,035,995,757.80 - Step 4: Simplify right side
9,656,165,784,498.90x = 38,789,337,188,585,776,001,056,768 - Step 5: Solve for x
x = 38,789,337,188,585,776,001,056,768/9,656,165,784,498.90 - Step 6: Final answer
x = 4,017,053,772,093.94
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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.