Finding the Fourth Proportional to 7,820,075,101.40, 11,743,717,541.70 and 4,146,754,909.40
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Solution
The fourth proportional to 7,820,075,101.40, 11,743,717,541.70 and 4,146,754,909.40 is: 6,227,346,635.32
Step by Step Solution
- Step 1: Write the proportion equation
7,820,075,101.40 : 11,743,717,541.70 = 4,146,754,909.40 : x - Step 2: Convert to fraction form
7,820,075,101.40/11,743,717,541.70 = 4,146,754,909.40/x - Step 3: Cross multiply
7,820,075,101.40x = 11,743,717,541.70 × 4,146,754,909.40 - Step 4: Simplify right side
7,820,075,101.40x = 48,698,318,370,651,381,760 - Step 5: Solve for x
x = 48,698,318,370,651,381,760/7,820,075,101.40 - Step 6: Final answer
x = 6,227,346,635.32
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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.