Finding the Fourth Proportional to 333,010,257,174.84, 498,655,106,149.20 and 229,832,201,776.92
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Solution
The fourth proportional to 333,010,257,174.84, 498,655,106,149.20 and 229,832,201,776.92 is: 344,154,567,327.34
Step by Step Solution
- Step 1: Write the proportion equation
333,010,257,174.84 : 498,655,106,149.20 = 229,832,201,776.92 : x - Step 2: Convert to fraction form
333,010,257,174.84/498,655,106,149.20 = 229,832,201,776.92/x - Step 3: Cross multiply
333,010,257,174.84x = 498,655,106,149.20 × 229,832,201,776.92 - Step 4: Simplify right side
333,010,257,174.84x = 114,607,000,973,574,406,144,000 - Step 5: Solve for x
x = 114,607,000,973,574,406,144,000/333,010,257,174.84 - Step 6: Final answer
x = 344,154,567,327.34
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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.