Finding the Fourth Proportional to 296,951,069,207.24, 409,792,452,780.64 and 161,621,219,966.13
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Solution
The fourth proportional to 296,951,069,207.24, 409,792,452,780.64 and 161,621,219,966.13 is: 223,037,271,184.56
Step by Step Solution
- Step 1: Write the proportion equation
296,951,069,207.24 : 409,792,452,780.64 = 161,621,219,966.13 : x - Step 2: Convert to fraction form
296,951,069,207.24/409,792,452,780.64 = 161,621,219,966.13/x - Step 3: Cross multiply
296,951,069,207.24x = 409,792,452,780.64 × 161,621,219,966.13 - Step 4: Simplify right side
296,951,069,207.24x = 66,231,156,151,319,760,207,872 - Step 5: Solve for x
x = 66,231,156,151,319,760,207,872/296,951,069,207.24 - Step 6: Final answer
x = 223,037,271,184.56
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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.