Finding the Fourth Proportional to 711,868,497.30, 997,296,140.70 and 711,868,497.30
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Solution
The fourth proportional to 711,868,497.30, 997,296,140.70 and 711,868,497.30 is: 997,296,140.70
Step by Step Solution
- Step 1: Write the proportion equation
711,868,497.30 : 997,296,140.70 = 711,868,497.30 : x - Step 2: Convert to fraction form
711,868,497.30/997,296,140.70 = 711,868,497.30/x - Step 3: Cross multiply
711,868,497.30x = 997,296,140.70 × 711,868,497.30 - Step 4: Simplify right side
711,868,497.30x = 709,943,705,043,198,336 - Step 5: Solve for x
x = 709,943,705,043,198,336/711,868,497.30 - Step 6: Final answer
x = 997,296,140.70
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Double scale
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.