Finding the Fourth Proportional to 98,820,961,049.49, 136,375,802,964.93 and 56,000,020,101.14
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Solution
The fourth proportional to 98,820,961,049.49, 136,375,802,964.93 and 56,000,020,101.14 is: 77,281,657,921.95
Step by Step Solution
- Step 1: Write the proportion equation
98,820,961,049.49 : 136,375,802,964.93 = 56,000,020,101.14 : x - Step 2: Convert to fraction form
98,820,961,049.49/136,375,802,964.93 = 56,000,020,101.14/x - Step 3: Cross multiply
98,820,961,049.49x = 136,375,802,964.93 × 56,000,020,101.14 - Step 4: Simplify right side
98,820,961,049.49x = 7,637,047,707,344,642,768,896 - Step 5: Solve for x
x = 7,637,047,707,344,642,768,896/98,820,961,049.49 - Step 6: Final answer
x = 77,281,657,921.95
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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.