Finding the Fourth Proportional to 859,413,668,218.35, 1,185,994,549,289.30 and 468,788,744,642.20
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Solution
The fourth proportional to 859,413,668,218.35, 1,185,994,549,289.30 and 468,788,744,642.20 is: 646,930,478,853.60
Step by Step Solution
- Step 1: Write the proportion equation
859,413,668,218.35 : 1,185,994,549,289.30 = 468,788,744,642.20 : x - Step 2: Convert to fraction form
859,413,668,218.35/1,185,994,549,289.30 = 468,788,744,642.20/x - Step 3: Cross multiply
859,413,668,218.35x = 1,185,994,549,289.30 × 468,788,744,642.20 - Step 4: Simplify right side
859,413,668,218.35x = 555,980,895,913,822,782,488,576 - Step 5: Solve for x
x = 555,980,895,913,822,782,488,576/859,413,668,218.35 - Step 6: Final answer
x = 646,930,478,853.60
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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.