Finding the Fourth Proportional to 77,670,554,095.86, 106,406,889,576.73 and 74,766,576,822.99
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Solution
The fourth proportional to 77,670,554,095.86, 106,406,889,576.73 and 74,766,576,822.99 is: 102,428,506,872.96
Step by Step Solution
- Step 1: Write the proportion equation
77,670,554,095.86 : 106,406,889,576.73 = 74,766,576,822.99 : x - Step 2: Convert to fraction form
77,670,554,095.86/106,406,889,576.73 = 74,766,576,822.99/x - Step 3: Cross multiply
77,670,554,095.86x = 106,406,889,576.73 × 74,766,576,822.99 - Step 4: Simplify right side
77,670,554,095.86x = 7,955,678,884,033,998,094,336 - Step 5: Solve for x
x = 7,955,678,884,033,998,094,336/77,670,554,095.86 - Step 6: Final answer
x = 102,428,506,872.96
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.