Finding the Fourth Proportional to 201,860,343,547.14, 278,506,797,587.25 and 116,219,107,351.26
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Solution
The fourth proportional to 201,860,343,547.14, 278,506,797,587.25 and 116,219,107,351.26 is: 160,347,549,390.20
Step by Step Solution
- Step 1: Write the proportion equation
201,860,343,547.14 : 278,506,797,587.25 = 116,219,107,351.26 : x - Step 2: Convert to fraction form
201,860,343,547.14/278,506,797,587.25 = 116,219,107,351.26/x - Step 3: Cross multiply
201,860,343,547.14x = 278,506,797,587.25 × 116,219,107,351.26 - Step 4: Simplify right side
201,860,343,547.14x = 32,367,811,406,848,243,793,920 - Step 5: Solve for x
x = 32,367,811,406,848,243,793,920/201,860,343,547.14 - Step 6: Final answer
x = 160,347,549,390.20
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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.