Finding the Fourth Proportional to 8,123,653,313.78, 11,210,654,761.32 and 4,506,677,145.99
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Solution
The fourth proportional to 8,123,653,313.78, 11,210,654,761.32 and 4,506,677,145.99 is: 6,219,221,777.80
Step by Step Solution
- Step 1: Write the proportion equation
8,123,653,313.78 : 11,210,654,761.32 = 4,506,677,145.99 : x - Step 2: Convert to fraction form
8,123,653,313.78/11,210,654,761.32 = 4,506,677,145.99/x - Step 3: Cross multiply
8,123,653,313.78x = 11,210,654,761.32 × 4,506,677,145.99 - Step 4: Simplify right side
8,123,653,313.78x = 50,522,801,604,346,232,832 - Step 5: Solve for x
x = 50,522,801,604,346,232,832/8,123,653,313.78 - Step 6: Final answer
x = 6,219,221,777.80
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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.