Finding the Fourth Proportional to 562,506,503,503.65, 776,325,522,631 and 334,136,647,752.45
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Solution
The fourth proportional to 562,506,503,503.65, 776,325,522,631 and 334,136,647,752.45 is: 461,148,104,210.16
Step by Step Solution
- Step 1: Write the proportion equation
562,506,503,503.65 : 776,325,522,631 = 334,136,647,752.45 : x - Step 2: Convert to fraction form
562,506,503,503.65/776,325,522,631 = 334,136,647,752.45/x - Step 3: Cross multiply
562,506,503,503.65x = 776,325,522,631 × 334,136,647,752.45 - Step 4: Simplify right side
562,506,503,503.65x = 259,398,807,696,591,097,430,016 - Step 5: Solve for x
x = 259,398,807,696,591,097,430,016/562,506,503,503.65 - Step 6: Final answer
x = 461,148,104,210.16
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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.