Finding the Fourth Proportional to 340,098,652,163.80, 469,336,122,036.72 and 183,668,829,054.14
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Solution
The fourth proportional to 340,098,652,163.80, 469,336,122,036.72 and 183,668,829,054.14 is: 253,462,974,401.26
Step by Step Solution
- Step 1: Write the proportion equation
340,098,652,163.80 : 469,336,122,036.72 = 183,668,829,054.14 : x - Step 2: Convert to fraction form
340,098,652,163.80/469,336,122,036.72 = 183,668,829,054.14/x - Step 3: Cross multiply
340,098,652,163.80x = 469,336,122,036.72 × 183,668,829,054.14 - Step 4: Simplify right side
340,098,652,163.80x = 86,202,415,967,295,313,543,168 - Step 5: Solve for x
x = 86,202,415,967,295,313,543,168/340,098,652,163.80 - Step 6: Final answer
x = 253,462,974,401.26
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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.