Finding the Fourth Proportional to 60,520,745,924,993, 83,518,709,917,916 and 32,773,746,678,782
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Solution
The fourth proportional to 60,520,745,924,993, 83,518,709,917,916 and 32,773,746,678,782 is: 45,227,814,032,247.05
Step by Step Solution
- Step 1: Write the proportion equation
60,520,745,924,993 : 83,518,709,917,916 = 32,773,746,678,782 : x - Step 2: Convert to fraction form
60,520,745,924,993/83,518,709,917,916 = 32,773,746,678,782/x - Step 3: Cross multiply
60,520,745,924,993x = 83,518,709,917,916 × 32,773,746,678,782 - Step 4: Simplify right side
60,520,745,924,993x = 2,737,221,041,788,456,844,881,035,264 - Step 5: Solve for x
x = 2,737,221,041,788,456,844,881,035,264/60,520,745,924,993 - Step 6: Final answer
x = 45,227,814,032,247.05
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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.