Finding the Fourth Proportional to 751,806,711,423.90, 1,037,493,373,686.40 and 409,253,174,907.12
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Solution
The fourth proportional to 751,806,711,423.90, 1,037,493,373,686.40 and 409,253,174,907.12 is: 564,769,442,297.32
Step by Step Solution
- Step 1: Write the proportion equation
751,806,711,423.90 : 1,037,493,373,686.40 = 409,253,174,907.12 : x - Step 2: Convert to fraction form
751,806,711,423.90/1,037,493,373,686.40 = 409,253,174,907.12/x - Step 3: Cross multiply
751,806,711,423.90x = 1,037,493,373,686.40 × 409,253,174,907.12 - Step 4: Simplify right side
751,806,711,423.90x = 424,597,457,126,258,288,623,616 - Step 5: Solve for x
x = 424,597,457,126,258,288,623,616/751,806,711,423.90 - Step 6: Final answer
x = 564,769,442,297.32
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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.