Finding the Fourth Proportional to 102,596,575,233.80, 153,894,862,850.70 and 102,596,575,233.80
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Solution
The fourth proportional to 102,596,575,233.80, 153,894,862,850.70 and 102,596,575,233.80 is: 153,894,862,850.70
Step by Step Solution
- Step 1: Write the proportion equation
102,596,575,233.80 : 153,894,862,850.70 = 102,596,575,233.80 : x - Step 2: Convert to fraction form
102,596,575,233.80/153,894,862,850.70 = 102,596,575,233.80/x - Step 3: Cross multiply
102,596,575,233.80x = 153,894,862,850.70 × 102,596,575,233.80 - Step 4: Simplify right side
102,596,575,233.80x = 15,789,085,874,557,177,298,944 - Step 5: Solve for x
x = 15,789,085,874,557,177,298,944/102,596,575,233.80 - Step 6: Final answer
x = 153,894,862,850.70
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1.5x scale
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.