Finding the Fourth Proportional to 6,164,666,423.24, 8,507,239,664.58 and 3,345,274,348.96
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Solution
The fourth proportional to 6,164,666,423.24, 8,507,239,664.58 and 3,345,274,348.96 is: 4,616,478,601.84
Step by Step Solution
- Step 1: Write the proportion equation
6,164,666,423.24 : 8,507,239,664.58 = 3,345,274,348.96 : x - Step 2: Convert to fraction form
6,164,666,423.24/8,507,239,664.58 = 3,345,274,348.96/x - Step 3: Cross multiply
6,164,666,423.24x = 8,507,239,664.58 × 3,345,274,348.96 - Step 4: Simplify right side
6,164,666,423.24x = 28,459,050,630,374,547,456 - Step 5: Solve for x
x = 28,459,050,630,374,547,456/6,164,666,423.24 - Step 6: Final answer
x = 4,616,478,601.84
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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.