Finding the Fourth Proportional to 745,765,839,668.12, 1,029,154,923,029.40 and 416,165,421,994.10
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Solution
The fourth proportional to 745,765,839,668.12, 1,029,154,923,029.40 and 416,165,421,994.10 is: 574,307,202,151.33
Step by Step Solution
- Step 1: Write the proportion equation
745,765,839,668.12 : 1,029,154,923,029.40 = 416,165,421,994.10 : x - Step 2: Convert to fraction form
745,765,839,668.12/1,029,154,923,029.40 = 416,165,421,994.10/x - Step 3: Cross multiply
745,765,839,668.12x = 1,029,154,923,029.40 × 416,165,421,994.10 - Step 4: Simplify right side
745,765,839,668.12x = 428,298,692,839,835,716,026,368 - Step 5: Solve for x
x = 428,298,692,839,835,716,026,368/745,765,839,668.12 - Step 6: Final answer
x = 574,307,202,151.33
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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.