Finding the Fourth Proportional to 21,553,371,177,982, 32,330,057,140,488 and 5,235,141,766,970
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Solution
The fourth proportional to 21,553,371,177,982, 32,330,057,140,488 and 5,235,141,766,970 is: 7,852,712,741,178.81
Step by Step Solution
- Step 1: Write the proportion equation
21,553,371,177,982 : 32,330,057,140,488 = 5,235,141,766,970 : x - Step 2: Convert to fraction form
21,553,371,177,982/32,330,057,140,488 = 5,235,141,766,970/x - Step 3: Cross multiply
21,553,371,177,982x = 32,330,057,140,488 × 5,235,141,766,970 - Step 4: Simplify right side
21,553,371,177,982x = 169,252,432,464,695,425,820,000,256 - Step 5: Solve for x
x = 169,252,432,464,695,425,820,000,256/21,553,371,177,982 - Step 6: Final answer
x = 7,852,712,741,178.81
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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.