Finding the Fourth Proportional to 398,309,175,040.19, 549,668,317,632.45 and 215,406,276,676.97
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Solution
The fourth proportional to 398,309,175,040.19, 549,668,317,632.45 and 215,406,276,676.97 is: 297,261,557,423.46
Step by Step Solution
- Step 1: Write the proportion equation
398,309,175,040.19 : 549,668,317,632.45 = 215,406,276,676.97 : x - Step 2: Convert to fraction form
398,309,175,040.19/549,668,317,632.45 = 215,406,276,676.97/x - Step 3: Cross multiply
398,309,175,040.19x = 549,668,317,632.45 × 215,406,276,676.97 - Step 4: Simplify right side
398,309,175,040.19x = 118,402,005,708,500,159,692,800 - Step 5: Solve for x
x = 118,402,005,708,500,159,692,800/398,309,175,040.19 - Step 6: Final answer
x = 297,261,557,423.46
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1.5x scale
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.