Finding the Fourth Proportional to 447,361,392,657.84, 617,358,698,254.36 and 241,595,612,203.54
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Solution
The fourth proportional to 447,361,392,657.84, 617,358,698,254.36 and 241,595,612,203.54 is: 333,401,932,088.54
Step by Step Solution
- Step 1: Write the proportion equation
447,361,392,657.84 : 617,358,698,254.36 = 241,595,612,203.54 : x - Step 2: Convert to fraction form
447,361,392,657.84/617,358,698,254.36 = 241,595,612,203.54/x - Step 3: Cross multiply
447,361,392,657.84x = 617,358,698,254.36 × 241,595,612,203.54 - Step 4: Simplify right side
447,361,392,657.84x = 149,151,152,653,942,627,762,176 - Step 5: Solve for x
x = 149,151,152,653,942,627,762,176/447,361,392,657.84 - Step 6: Final answer
x = 333,401,932,088.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.