Finding the Fourth Proportional to 16,176,265,622.10, 24,228,118,727.55 and 16,176,265,622.10
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Solution
The fourth proportional to 16,176,265,622.10, 24,228,118,727.55 and 16,176,265,622.10 is: 24,228,118,727.55
Step by Step Solution
- Step 1: Write the proportion equation
16,176,265,622.10 : 24,228,118,727.55 = 16,176,265,622.10 : x - Step 2: Convert to fraction form
16,176,265,622.10/24,228,118,727.55 = 16,176,265,622.10/x - Step 3: Cross multiply
16,176,265,622.10x = 24,228,118,727.55 × 16,176,265,622.10 - Step 4: Simplify right side
16,176,265,622.10x = 391,920,484,060,624,257,024 - Step 5: Solve for x
x = 391,920,484,060,624,257,024/16,176,265,622.10 - Step 6: Final answer
x = 24,228,118,727.55
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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.