Finding the Fourth Proportional to 582,442,420,803.68, 873,663,631,206 and 163,683,918,915.68
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Solution
The fourth proportional to 582,442,420,803.68, 873,663,631,206 and 163,683,918,915.68 is: 245,525,878,373.66
Step by Step Solution
- Step 1: Write the proportion equation
582,442,420,803.68 : 873,663,631,206 = 163,683,918,915.68 : x - Step 2: Convert to fraction form
582,442,420,803.68/873,663,631,206 = 163,683,918,915.68/x - Step 3: Cross multiply
582,442,420,803.68x = 873,663,631,206 × 163,683,918,915.68 - Step 4: Simplify right side
582,442,420,803.68x = 143,004,686,969,901,445,808,128 - Step 5: Solve for x
x = 143,004,686,969,901,445,808,128/582,442,420,803.68 - Step 6: Final answer
x = 245,525,878,373.66
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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.