Finding the Fourth Proportional to 7,842,097,244.16, 10,822,095,901.44 and 4,273,804,995.84
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Solution
The fourth proportional to 7,842,097,244.16, 10,822,095,901.44 and 4,273,804,995.84 is: 5,897,851,823.18
Step by Step Solution
- Step 1: Write the proportion equation
7,842,097,244.16 : 10,822,095,901.44 = 4,273,804,995.84 : x - Step 2: Convert to fraction form
7,842,097,244.16/10,822,095,901.44 = 4,273,804,995.84/x - Step 3: Cross multiply
7,842,097,244.16x = 10,822,095,901.44 × 4,273,804,995.84 - Step 4: Simplify right side
7,842,097,244.16x = 46,251,527,529,033,867,264 - Step 5: Solve for x
x = 46,251,527,529,033,867,264/7,842,097,244.16 - Step 6: Final answer
x = 5,897,851,823.18
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.