Finding the Fourth Proportional to 5,107,841,776.19, 7,048,818,533.36 and 2,760,998,320.19
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Solution
The fourth proportional to 5,107,841,776.19, 7,048,818,533.36 and 2,760,998,320.19 is: 3,810,175,996.57
Step by Step Solution
- Step 1: Write the proportion equation
5,107,841,776.19 : 7,048,818,533.36 = 2,760,998,320.19 : x - Step 2: Convert to fraction form
5,107,841,776.19/7,048,818,533.36 = 2,760,998,320.19/x - Step 3: Cross multiply
5,107,841,776.19x = 7,048,818,533.36 × 2,760,998,320.19 - Step 4: Simplify right side
5,107,841,776.19x = 19,461,776,129,931,100,160 - Step 5: Solve for x
x = 19,461,776,129,931,100,160/5,107,841,776.19 - Step 6: Final answer
x = 3,810,175,996.57
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1.5x scale
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.