Finding the Fourth Proportional to 1,433,258,193,039, 2,149,872,564,706.80 and 828,498,593,176.24
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Solution
The fourth proportional to 1,433,258,193,039, 2,149,872,564,706.80 and 828,498,593,176.24 is: 1,242,739,378,025.88
Step by Step Solution
- Step 1: Write the proportion equation
1,433,258,193,039 : 2,149,872,564,706.80 = 828,498,593,176.24 : x - Step 2: Convert to fraction form
1,433,258,193,039/2,149,872,564,706.80 = 828,498,593,176.24/x - Step 3: Cross multiply
1,433,258,193,039x = 2,149,872,564,706.80 × 828,498,593,176.24 - Step 4: Simplify right side
1,433,258,193,039x = 1,781,166,395,367,778,716,483,584 - Step 5: Solve for x
x = 1,781,166,395,367,778,716,483,584/1,433,258,193,039 - Step 6: Final answer
x = 1,242,739,378,025.88
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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.