Finding the Fourth Proportional to 5,248,021,295.80, 7,872,031,943.70 and 5,102,738,612.43
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Solution
The fourth proportional to 5,248,021,295.80, 7,872,031,943.70 and 5,102,738,612.43 is: 7,654,107,918.65
Step by Step Solution
- Step 1: Write the proportion equation
5,248,021,295.80 : 7,872,031,943.70 = 5,102,738,612.43 : x - Step 2: Convert to fraction form
5,248,021,295.80/7,872,031,943.70 = 5,102,738,612.43/x - Step 3: Cross multiply
5,248,021,295.80x = 7,872,031,943.70 × 5,102,738,612.43 - Step 4: Simplify right side
5,248,021,295.80x = 40,168,921,357,400,375,296 - Step 5: Solve for x
x = 40,168,921,357,400,375,296/5,248,021,295.80 - Step 6: Final answer
x = 7,654,107,918.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.