Finding the Fourth Proportional to 491,160,487,335.98, 736,082,183,219.58 and 382,258,715,447.88
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Solution
The fourth proportional to 491,160,487,335.98, 736,082,183,219.58 and 382,258,715,447.88 is: 572,875,540,839.49
Step by Step Solution
- Step 1: Write the proportion equation
491,160,487,335.98 : 736,082,183,219.58 = 382,258,715,447.88 : x - Step 2: Convert to fraction form
491,160,487,335.98/736,082,183,219.58 = 382,258,715,447.88/x - Step 3: Cross multiply
491,160,487,335.98x = 736,082,183,219.58 × 382,258,715,447.88 - Step 4: Simplify right side
491,160,487,335.98x = 281,373,829,821,587,697,696,768 - Step 5: Solve for x
x = 281,373,829,821,587,697,696,768/491,160,487,335.98 - Step 6: Final answer
x = 572,875,540,839.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.