Finding the Fourth Proportional to 4,292,598,602,713.80, 6,438,215,543,066.70 and 1,427,176,058,176
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Solution
The fourth proportional to 4,292,598,602,713.80, 6,438,215,543,066.70 and 1,427,176,058,176 is: 2,140,537,220,189.28
Step by Step Solution
- Step 1: Write the proportion equation
4,292,598,602,713.80 : 6,438,215,543,066.70 = 1,427,176,058,176 : x - Step 2: Convert to fraction form
4,292,598,602,713.80/6,438,215,543,066.70 = 1,427,176,058,176/x - Step 3: Cross multiply
4,292,598,602,713.80x = 6,438,215,543,066.70 × 1,427,176,058,176 - Step 4: Simplify right side
4,292,598,602,713.80x = 9,188,467,080,441,388,421,087,232 - Step 5: Solve for x
x = 9,188,467,080,441,388,421,087,232/4,292,598,602,713.80 - Step 6: Final answer
x = 2,140,537,220,189.28
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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.