Finding the Fourth Proportional to 40,400,415,502.86, 55,743,326,352.92 and 24,120,859,702.99
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Solution
The fourth proportional to 40,400,415,502.86, 55,743,326,352.92 and 24,120,859,702.99 is: 33,281,265,491.97
Step by Step Solution
- Step 1: Write the proportion equation
40,400,415,502.86 : 55,743,326,352.92 = 24,120,859,702.99 : x - Step 2: Convert to fraction form
40,400,415,502.86/55,743,326,352.92 = 24,120,859,702.99/x - Step 3: Cross multiply
40,400,415,502.86x = 55,743,326,352.92 × 24,120,859,702.99 - Step 4: Simplify right side
40,400,415,502.86x = 1,344,576,954,336,768,688,128 - Step 5: Solve for x
x = 1,344,576,954,336,768,688,128/40,400,415,502.86 - Step 6: Final answer
x = 33,281,265,491.97
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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.