Finding the Fourth Proportional to 466,428,472,357.84, 643,673,672,069.56 and 260,666,145,918
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Solution
The fourth proportional to 466,428,472,357.84, 643,673,672,069.56 and 260,666,145,918 is: 359,720,611,563.65
Step by Step Solution
- Step 1: Write the proportion equation
466,428,472,357.84 : 643,673,672,069.56 = 260,666,145,918 : x - Step 2: Convert to fraction form
466,428,472,357.84/643,673,672,069.56 = 260,666,145,918/x - Step 3: Cross multiply
466,428,472,357.84x = 643,673,672,069.56 × 260,666,145,918 - Step 4: Simplify right side
466,428,472,357.84x = 167,783,935,327,258,821,001,216 - Step 5: Solve for x
x = 167,783,935,327,258,821,001,216/466,428,472,357.84 - Step 6: Final answer
x = 359,720,611,563.65
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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.