Finding the Fourth Proportional to 15,377,948,829,312, 21,221,585,090,322 and 8,346,548,426,742
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Solution
The fourth proportional to 15,377,948,829,312, 21,221,585,090,322 and 8,346,548,426,742 is: 11,518,245,353,435.94
Step by Step Solution
- Step 1: Write the proportion equation
15,377,948,829,312 : 21,221,585,090,322 = 8,346,548,426,742 : x - Step 2: Convert to fraction form
15,377,948,829,312/21,221,585,090,322 = 8,346,548,426,742/x - Step 3: Cross multiply
15,377,948,829,312x = 21,221,585,090,322 × 8,346,548,426,742 - Step 4: Simplify right side
15,377,948,829,312x = 177,126,987,648,598,583,808,098,304 - Step 5: Solve for x
x = 177,126,987,648,598,583,808,098,304/15,377,948,829,312 - Step 6: Final answer
x = 11,518,245,353,435.94
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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.