Finding the Fourth Proportional to 9,657,832,776.20, 14,486,749,164.30 and 6,852,202,209.80
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Solution
The fourth proportional to 9,657,832,776.20, 14,486,749,164.30 and 6,852,202,209.80 is: 10,278,303,314.70
Step by Step Solution
- Step 1: Write the proportion equation
9,657,832,776.20 : 14,486,749,164.30 = 6,852,202,209.80 : x - Step 2: Convert to fraction form
9,657,832,776.20/14,486,749,164.30 = 6,852,202,209.80/x - Step 3: Cross multiply
9,657,832,776.20x = 14,486,749,164.30 × 6,852,202,209.80 - Step 4: Simplify right side
9,657,832,776.20x = 99,266,134,636,434,767,872 - Step 5: Solve for x
x = 99,266,134,636,434,767,872/9,657,832,776.20 - Step 6: Final answer
x = 10,278,303,314.70
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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.