Finding the Fourth Proportional to 4,292,598,602,712.80, 6,438,215,543,065.20 and 1,427,176,058,175
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Solution
The fourth proportional to 4,292,598,602,712.80, 6,438,215,543,065.20 and 1,427,176,058,175 is: 2,140,537,220,187.78
Step by Step Solution
- Step 1: Write the proportion equation
4,292,598,602,712.80 : 6,438,215,543,065.20 = 1,427,176,058,175 : x - Step 2: Convert to fraction form
4,292,598,602,712.80/6,438,215,543,065.20 = 1,427,176,058,175/x - Step 3: Cross multiply
4,292,598,602,712.80x = 6,438,215,543,065.20 × 1,427,176,058,175 - Step 4: Simplify right side
4,292,598,602,712.80x = 9,188,467,080,432,809,223,913,472 - Step 5: Solve for x
x = 9,188,467,080,432,809,223,913,472/4,292,598,602,712.80 - Step 6: Final answer
x = 2,140,537,220,187.78
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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.