Finding the Fourth Proportional to 1,433,258,192,997.30, 2,149,872,564,644.40 and 828,498,593,134.60
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Solution
The fourth proportional to 1,433,258,192,997.30, 2,149,872,564,644.40 and 828,498,593,134.60 is: 1,242,739,377,963.50
Step by Step Solution
- Step 1: Write the proportion equation
1,433,258,192,997.30 : 2,149,872,564,644.40 = 828,498,593,134.60 : x - Step 2: Convert to fraction form
1,433,258,192,997.30/2,149,872,564,644.40 = 828,498,593,134.60/x - Step 3: Cross multiply
1,433,258,192,997.30x = 2,149,872,564,644.40 × 828,498,593,134.60 - Step 4: Simplify right side
1,433,258,192,997.30x = 1,781,166,395,226,559,654,920,192 - Step 5: Solve for x
x = 1,781,166,395,226,559,654,920,192/1,433,258,192,997.30 - Step 6: Final answer
x = 1,242,739,377,963.50
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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.