Finding the Fourth Proportional to 149,796,118,963.68, 224,670,260,049.35 and 43,653,357,257.56
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Solution
The fourth proportional to 149,796,118,963.68, 224,670,260,049.35 and 43,653,357,257.56 is: 65,473,065,623.69
Step by Step Solution
- Step 1: Write the proportion equation
149,796,118,963.68 : 224,670,260,049.35 = 43,653,357,257.56 : x - Step 2: Convert to fraction form
149,796,118,963.68/224,670,260,049.35 = 43,653,357,257.56/x - Step 3: Cross multiply
149,796,118,963.68x = 224,670,260,049.35 × 43,653,357,257.56 - Step 4: Simplify right side
149,796,118,963.68x = 9,807,611,127,083,634,262,016 - Step 5: Solve for x
x = 9,807,611,127,083,634,262,016/149,796,118,963.68 - Step 6: Final answer
x = 65,473,065,623.69
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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.