Finding the Fourth Proportional to 651,483,966.24, 977,217,420.06 and 160,201,476.72
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Solution
The fourth proportional to 651,483,966.24, 977,217,420.06 and 160,201,476.72 is: 240,300,117.70
Step by Step Solution
- Step 1: Write the proportion equation
651,483,966.24 : 977,217,420.06 = 160,201,476.72 : x - Step 2: Convert to fraction form
651,483,966.24/977,217,420.06 = 160,201,476.72/x - Step 3: Cross multiply
651,483,966.24x = 977,217,420.06 × 160,201,476.72 - Step 4: Simplify right side
651,483,966.24x = 156,551,673,770,120,544 - Step 5: Solve for x
x = 156,551,673,770,120,544/651,483,966.24 - Step 6: Final answer
x = 240,300,117.70
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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.