Finding the Fourth Proportional to 4,451,843,908,327, 6,673,941,334,163.40 and 1,547,191,854,354.20
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Solution
The fourth proportional to 4,451,843,908,327, 6,673,941,334,163.40 and 1,547,191,854,354.20 is: 2,319,458,606,655.39
Step by Step Solution
- Step 1: Write the proportion equation
4,451,843,908,327 : 6,673,941,334,163.40 = 1,547,191,854,354.20 : x - Step 2: Convert to fraction form
4,451,843,908,327/6,673,941,334,163.40 = 1,547,191,854,354.20/x - Step 3: Cross multiply
4,451,843,908,327x = 6,673,941,334,163.40 × 1,547,191,854,354.20 - Step 4: Simplify right side
4,451,843,908,327x = 10,325,867,668,655,415,083,663,360 - Step 5: Solve for x
x = 10,325,867,668,655,415,083,663,360/4,451,843,908,327 - Step 6: Final answer
x = 2,319,458,606,655.39
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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.