Finding the Fourth Proportional to 7,138,343,135,829.20, 10,709,615,490,598 and 2,303,254,074,806.80
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Solution
The fourth proportional to 7,138,343,135,829.20, 10,709,615,490,598 and 2,303,254,074,806.80 is: 3,455,558,951,001.38
Step by Step Solution
- Step 1: Write the proportion equation
7,138,343,135,829.20 : 10,709,615,490,598 = 2,303,254,074,806.80 : x - Step 2: Convert to fraction form
7,138,343,135,829.20/10,709,615,490,598 = 2,303,254,074,806.80/x - Step 3: Cross multiply
7,138,343,135,829.20x = 10,709,615,490,598 × 2,303,254,074,806.80 - Step 4: Simplify right side
7,138,343,135,829.20x = 24,666,965,518,333,866,433,052,672 - Step 5: Solve for x
x = 24,666,965,518,333,866,433,052,672/7,138,343,135,829.20 - Step 6: Final answer
x = 3,455,558,951,001.38
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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.