Finding the Fourth Proportional to 15,377,948,829,298, 21,221,585,090,304 and 8,346,548,426,729
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Solution
The fourth proportional to 15,377,948,829,298, 21,221,585,090,304 and 8,346,548,426,729 is: 11,518,245,353,418.71
Step by Step Solution
- Step 1: Write the proportion equation
15,377,948,829,298 : 21,221,585,090,304 = 8,346,548,426,729 : x - Step 2: Convert to fraction form
15,377,948,829,298/21,221,585,090,304 = 8,346,548,426,729/x - Step 3: Cross multiply
15,377,948,829,298x = 21,221,585,090,304 × 8,346,548,426,729 - Step 4: Simplify right side
15,377,948,829,298x = 177,126,987,648,172,454,332,858,368 - Step 5: Solve for x
x = 177,126,987,648,172,454,332,858,368/15,377,948,829,298 - Step 6: Final answer
x = 11,518,245,353,418.71
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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.