Finding the Fourth Proportional to 783,336,386,421.05, 1,175,541,305,215.20 and 273,395,153,384.23
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Solution
The fourth proportional to 783,336,386,421.05, 1,175,541,305,215.20 and 273,395,153,384.23 is: 410,280,054,673.80
Step by Step Solution
- Step 1: Write the proportion equation
783,336,386,421.05 : 1,175,541,305,215.20 = 273,395,153,384.23 : x - Step 2: Convert to fraction form
783,336,386,421.05/1,175,541,305,215.20 = 273,395,153,384.23/x - Step 3: Cross multiply
783,336,386,421.05x = 1,175,541,305,215.20 × 273,395,153,384.23 - Step 4: Simplify right side
783,336,386,421.05x = 321,387,295,448,807,514,308,608 - Step 5: Solve for x
x = 321,387,295,448,807,514,308,608/783,336,386,421.05 - Step 6: Final answer
x = 410,280,054,673.80
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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.