Finding the Fourth Proportional to 310,315,060,090.70, 465,472,590,135.99 and 310,315,060,090.70
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Solution
The fourth proportional to 310,315,060,090.70, 465,472,590,135.99 and 310,315,060,090.70 is: 465,472,590,135.99
Step by Step Solution
- Step 1: Write the proportion equation
310,315,060,090.70 : 465,472,590,135.99 = 310,315,060,090.70 : x - Step 2: Convert to fraction form
310,315,060,090.70/465,472,590,135.99 = 310,315,060,090.70/x - Step 3: Cross multiply
310,315,060,090.70x = 465,472,590,135.99 × 310,315,060,090.70 - Step 4: Simplify right side
310,315,060,090.70x = 144,443,154,778,623,506,907,136 - Step 5: Solve for x
x = 144,443,154,778,623,506,907,136/310,315,060,090.70 - Step 6: Final answer
x = 465,472,590,135.99
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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.