Finding the Fourth Proportional to 77,992,547,189.63, 116,907,169,322.70 and 32,639,240,296.17
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Solution
The fourth proportional to 77,992,547,189.63, 116,907,169,322.70 and 32,639,240,296.17 is: 48,924,689,978.28
Step by Step Solution
- Step 1: Write the proportion equation
77,992,547,189.63 : 116,907,169,322.70 = 32,639,240,296.17 : x - Step 2: Convert to fraction form
77,992,547,189.63/116,907,169,322.70 = 32,639,240,296.17/x - Step 3: Cross multiply
77,992,547,189.63x = 116,907,169,322.70 × 32,639,240,296.17 - Step 4: Simplify right side
77,992,547,189.63x = 3,815,761,191,868,638,953,472 - Step 5: Solve for x
x = 3,815,761,191,868,638,953,472/77,992,547,189.63 - Step 6: Final answer
x = 48,924,689,978.28
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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.