Finding the Fourth Proportional to 5,680,113,813.84, 7,838,406,700.68 and 3,174,008,118.96
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Solution
The fourth proportional to 5,680,113,813.84, 7,838,406,700.68 and 3,174,008,118.96 is: 4,380,047,182.69
Step by Step Solution
- Step 1: Write the proportion equation
5,680,113,813.84 : 7,838,406,700.68 = 3,174,008,118.96 : x - Step 2: Convert to fraction form
5,680,113,813.84/7,838,406,700.68 = 3,174,008,118.96/x - Step 3: Cross multiply
5,680,113,813.84x = 7,838,406,700.68 × 3,174,008,118.96 - Step 4: Simplify right side
5,680,113,813.84x = 24,879,166,507,668,787,200 - Step 5: Solve for x
x = 24,879,166,507,668,787,200/5,680,113,813.84 - Step 6: Final answer
x = 4,380,047,182.69
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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.