Finding the Fourth Proportional to 971,597,975,176.05, 1,340,847,352,972.60 and 538,050,364,259
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Solution
The fourth proportional to 971,597,975,176.05, 1,340,847,352,972.60 and 538,050,364,259 is: 742,532,842,919.83
Step by Step Solution
- Step 1: Write the proportion equation
971,597,975,176.05 : 1,340,847,352,972.60 = 538,050,364,259 : x - Step 2: Convert to fraction form
971,597,975,176.05/1,340,847,352,972.60 = 538,050,364,259/x - Step 3: Cross multiply
971,597,975,176.05x = 1,340,847,352,972.60 × 538,050,364,259 - Step 4: Simplify right side
971,597,975,176.05x = 721,443,406,682,623,488,032,768 - Step 5: Solve for x
x = 721,443,406,682,623,488,032,768/971,597,975,176.05 - Step 6: Final answer
x = 742,532,842,919.83
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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.