Finding the Fourth Proportional to 525,366,166,251.48, 787,845,513,820.08 and 180,701,633,442.12
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Solution
The fourth proportional to 525,366,166,251.48, 787,845,513,820.08 and 180,701,633,442.12 is: 270,982,374,565.76
Step by Step Solution
- Step 1: Write the proportion equation
525,366,166,251.48 : 787,845,513,820.08 = 180,701,633,442.12 : x - Step 2: Convert to fraction form
525,366,166,251.48/787,845,513,820.08 = 180,701,633,442.12/x - Step 3: Cross multiply
525,366,166,251.48x = 787,845,513,820.08 × 180,701,633,442.12 - Step 4: Simplify right side
525,366,166,251.48x = 142,364,971,247,334,770,868,224 - Step 5: Solve for x
x = 142,364,971,247,334,770,868,224/525,366,166,251.48 - Step 6: Final answer
x = 270,982,374,565.76
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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.