Finding the Fourth Proportional to 9,497,377,505.81, 14,246,066,701.56 and 6,506,491,330.73
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Solution
The fourth proportional to 9,497,377,505.81, 14,246,066,701.56 and 6,506,491,330.73 is: 9,759,737,299.48
Step by Step Solution
- Step 1: Write the proportion equation
9,497,377,505.81 : 14,246,066,701.56 = 6,506,491,330.73 : x - Step 2: Convert to fraction form
9,497,377,505.81/14,246,066,701.56 = 6,506,491,330.73/x - Step 3: Cross multiply
9,497,377,505.81x = 14,246,066,701.56 × 6,506,491,330.73 - Step 4: Simplify right side
9,497,377,505.81x = 92,691,909,490,701,451,264 - Step 5: Solve for x
x = 92,691,909,490,701,451,264/9,497,377,505.81 - Step 6: Final answer
x = 9,759,737,299.48
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1.5x scale
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.