Finding the Fourth Proportional to 2,317,867,514,621.90, 3,477,319,794,921.70 and 706,327,521,433.55
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Solution
The fourth proportional to 2,317,867,514,621.90, 3,477,319,794,921.70 and 706,327,521,433.55 is: 1,059,649,292,500.45
Step by Step Solution
- Step 1: Write the proportion equation
2,317,867,514,621.90 : 3,477,319,794,921.70 = 706,327,521,433.55 : x - Step 2: Convert to fraction form
2,317,867,514,621.90/3,477,319,794,921.70 = 706,327,521,433.55/x - Step 3: Cross multiply
2,317,867,514,621.90x = 3,477,319,794,921.70 × 706,327,521,433.55 - Step 4: Simplify right side
2,317,867,514,621.90x = 2,456,126,671,978,865,081,974,784 - Step 5: Solve for x
x = 2,456,126,671,978,865,081,974,784/2,317,867,514,621.90 - Step 6: Final answer
x = 1,059,649,292,500.45
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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.