Finding the Fourth Proportional to 212,334,547,233.24, 318,499,639,390.08 and 122,740,532,438.76
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Solution
The fourth proportional to 212,334,547,233.24, 318,499,639,390.08 and 122,740,532,438.76 is: 184,109,537,659.69
Step by Step Solution
- Step 1: Write the proportion equation
212,334,547,233.24 : 318,499,639,390.08 = 122,740,532,438.76 : x - Step 2: Convert to fraction form
212,334,547,233.24/318,499,639,390.08 = 122,740,532,438.76/x - Step 3: Cross multiply
212,334,547,233.24x = 318,499,639,390.08 × 122,740,532,438.76 - Step 4: Simplify right side
212,334,547,233.24x = 39,092,815,320,291,477,553,152 - Step 5: Solve for x
x = 39,092,815,320,291,477,553,152/212,334,547,233.24 - Step 6: Final answer
x = 184,109,537,659.69
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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.