Finding the Fourth Proportional to 4,698,745,875,572, 6,484,269,620,105.20 and 2,615,322,837,677.20
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Solution
The fourth proportional to 4,698,745,875,572, 6,484,269,620,105.20 and 2,615,322,837,677.20 is: 3,609,145,689,551.29
Step by Step Solution
- Step 1: Write the proportion equation
4,698,745,875,572 : 6,484,269,620,105.20 = 2,615,322,837,677.20 : x - Step 2: Convert to fraction form
4,698,745,875,572/6,484,269,620,105.20 = 2,615,322,837,677.20/x - Step 3: Cross multiply
4,698,745,875,572x = 6,484,269,620,105.20 × 2,615,322,837,677.20 - Step 4: Simplify right side
4,698,745,875,572x = 16,958,458,423,117,592,318,181,376 - Step 5: Solve for x
x = 16,958,458,423,117,592,318,181,376/4,698,745,875,572 - Step 6: Final answer
x = 3,609,145,689,551.29
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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.