Finding the Fourth Proportional to 480,560,908,374.20, 663,174,544,352.05 and 260,829,645,782.70
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Solution
The fourth proportional to 480,560,908,374.20, 663,174,544,352.05 and 260,829,645,782.70 is: 359,945,177,564.79
Step by Step Solution
- Step 1: Write the proportion equation
480,560,908,374.20 : 663,174,544,352.05 = 260,829,645,782.70 : x - Step 2: Convert to fraction form
480,560,908,374.20/663,174,544,352.05 = 260,829,645,782.70/x - Step 3: Cross multiply
480,560,908,374.20x = 663,174,544,352.05 × 260,829,645,782.70 - Step 4: Simplify right side
480,560,908,374.20x = 172,975,581,495,448,706,220,032 - Step 5: Solve for x
x = 172,975,581,495,448,706,220,032/480,560,908,374.20 - Step 6: Final answer
x = 359,945,177,564.79
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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.