Finding the Fourth Proportional to 686,301,442,671.36, 1,029,601,088,194.60 and 208,758,329,339.52
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Solution
The fourth proportional to 686,301,442,671.36, 1,029,601,088,194.60 and 208,758,329,339.52 is: 313,182,793,585.62
Step by Step Solution
- Step 1: Write the proportion equation
686,301,442,671.36 : 1,029,601,088,194.60 = 208,758,329,339.52 : x - Step 2: Convert to fraction form
686,301,442,671.36/1,029,601,088,194.60 = 208,758,329,339.52/x - Step 3: Cross multiply
686,301,442,671.36x = 1,029,601,088,194.60 × 208,758,329,339.52 - Step 4: Simplify right side
686,301,442,671.36x = 214,937,803,057,656,456,282,112 - Step 5: Solve for x
x = 214,937,803,057,656,456,282,112/686,301,442,671.36 - Step 6: Final answer
x = 313,182,793,585.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.