Finding the Fourth Proportional to 358,211,413,011.78, 537,392,592,798.95 and 116,169,650,150.19
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Solution
The fourth proportional to 358,211,413,011.78, 537,392,592,798.95 and 116,169,650,150.19 is: 174,278,951,566.25
Step by Step Solution
- Step 1: Write the proportion equation
358,211,413,011.78 : 537,392,592,798.95 = 116,169,650,150.19 : x - Step 2: Convert to fraction form
358,211,413,011.78/537,392,592,798.95 = 116,169,650,150.19/x - Step 3: Cross multiply
358,211,413,011.78x = 537,392,592,798.95 × 116,169,650,150.19 - Step 4: Simplify right side
358,211,413,011.78x = 62,428,709,498,757,536,808,960 - Step 5: Solve for x
x = 62,428,709,498,757,536,808,960/358,211,413,011.78 - Step 6: Final answer
x = 174,278,951,566.25
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1.5x scale
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.