Finding the Fourth Proportional to 195,570,293,941.20, 293,355,440,911.80 and 101,427,115,114.20
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Solution
The fourth proportional to 195,570,293,941.20, 293,355,440,911.80 and 101,427,115,114.20 is: 152,140,672,671.30
Step by Step Solution
- Step 1: Write the proportion equation
195,570,293,941.20 : 293,355,440,911.80 = 101,427,115,114.20 : x - Step 2: Convert to fraction form
195,570,293,941.20/293,355,440,911.80 = 101,427,115,114.20/x - Step 3: Cross multiply
195,570,293,941.20x = 293,355,440,911.80 × 101,427,115,114.20 - Step 4: Simplify right side
195,570,293,941.20x = 29,754,196,074,738,032,312,320 - Step 5: Solve for x
x = 29,754,196,074,738,032,312,320/195,570,293,941.20 - Step 6: Final answer
x = 152,140,672,671.30
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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.