Finding the Fourth Proportional to 60,520,745,924,991, 83,518,709,917,914 and 32,773,746,678,780
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Solution
The fourth proportional to 60,520,745,924,991, 83,518,709,917,914 and 32,773,746,678,780 is: 45,227,814,032,244.70
Step by Step Solution
- Step 1: Write the proportion equation
60,520,745,924,991 : 83,518,709,917,914 = 32,773,746,678,780 : x - Step 2: Convert to fraction form
60,520,745,924,991/83,518,709,917,914 = 32,773,746,678,780/x - Step 3: Cross multiply
60,520,745,924,991x = 83,518,709,917,914 × 32,773,746,678,780 - Step 4: Simplify right side
60,520,745,924,991x = 2,737,221,041,788,224,298,171,760,640 - Step 5: Solve for x
x = 2,737,221,041,788,224,298,171,760,640/60,520,745,924,991 - Step 6: Final answer
x = 45,227,814,032,244.70
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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.