Finding the Fourth Proportional to 216,972,298,569.07, 299,438,521,369.92 and 130,168,119,333.08
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Solution
The fourth proportional to 216,972,298,569.07, 299,438,521,369.92 and 130,168,119,333.08 is: 179,642,053,108.42
Step by Step Solution
- Step 1: Write the proportion equation
216,972,298,569.07 : 299,438,521,369.92 = 130,168,119,333.08 : x - Step 2: Convert to fraction form
216,972,298,569.07/299,438,521,369.92 = 130,168,119,333.08/x - Step 3: Cross multiply
216,972,298,569.07x = 299,438,521,369.92 × 130,168,119,333.08 - Step 4: Simplify right side
216,972,298,569.07x = 38,977,349,182,600,769,437,696 - Step 5: Solve for x
x = 38,977,349,182,600,769,437,696/216,972,298,569.07 - Step 6: Final answer
x = 179,642,053,108.42
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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.