Finding the Fourth Proportional to 477,438,466,861.66, 658,861,673,020.14 and 260,664,654,317.68
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Solution
The fourth proportional to 477,438,466,861.66, 658,861,673,020.14 and 260,664,654,317.68 is: 359,715,360,536.14
Step by Step Solution
- Step 1: Write the proportion equation
477,438,466,861.66 : 658,861,673,020.14 = 260,664,654,317.68 : x - Step 2: Convert to fraction form
477,438,466,861.66/658,861,673,020.14 = 260,664,654,317.68/x - Step 3: Cross multiply
477,438,466,861.66x = 658,861,673,020.14 × 260,664,654,317.68 - Step 4: Simplify right side
477,438,466,861.66x = 171,741,950,240,963,101,196,288 - Step 5: Solve for x
x = 171,741,950,240,963,101,196,288/477,438,466,861.66 - Step 6: Final answer
x = 359,715,360,536.14
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.