Finding the Fourth Proportional to 259,746,418,655.13, 358,322,680,592.61 and 225,403,924,002.66
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Solution
The fourth proportional to 259,746,418,655.13, 358,322,680,592.61 and 225,403,924,002.66 is: 310,946,879,202.07
Step by Step Solution
- Step 1: Write the proportion equation
259,746,418,655.13 : 358,322,680,592.61 = 225,403,924,002.66 : x - Step 2: Convert to fraction form
259,746,418,655.13/358,322,680,592.61 = 225,403,924,002.66/x - Step 3: Cross multiply
259,746,418,655.13x = 358,322,680,592.61 × 225,403,924,002.66 - Step 4: Simplify right side
259,746,418,655.13x = 80,767,338,264,726,069,051,392 - Step 5: Solve for x
x = 80,767,338,264,726,069,051,392/259,746,418,655.13 - Step 6: Final answer
x = 310,946,879,202.07
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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.