Finding the Fourth Proportional to 425,598,735,584.78, 587,325,875,657.84 and 240,239,460,475.80
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Solution
The fourth proportional to 425,598,735,584.78, 587,325,875,657.84 and 240,239,460,475.80 is: 331,530,241,267.39
Step by Step Solution
- Step 1: Write the proportion equation
425,598,735,584.78 : 587,325,875,657.84 = 240,239,460,475.80 : x - Step 2: Convert to fraction form
425,598,735,584.78/587,325,875,657.84 = 240,239,460,475.80/x - Step 3: Cross multiply
425,598,735,584.78x = 587,325,875,657.84 × 240,239,460,475.80 - Step 4: Simplify right side
425,598,735,584.78x = 141,098,851,491,516,254,257,152 - Step 5: Solve for x
x = 141,098,851,491,516,254,257,152/425,598,735,584.78 - Step 6: Final answer
x = 331,530,241,267.39
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1.5x scale
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.