Finding the Fourth Proportional to 7,538,346,165.65, 11,307,519,248.48 and 6,885,311,464.85
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Solution
The fourth proportional to 7,538,346,165.65, 11,307,519,248.48 and 6,885,311,464.85 is: 10,327,967,197.28
Step by Step Solution
- Step 1: Write the proportion equation
7,538,346,165.65 : 11,307,519,248.48 = 6,885,311,464.85 : x - Step 2: Convert to fraction form
7,538,346,165.65/11,307,519,248.48 = 6,885,311,464.85/x - Step 3: Cross multiply
7,538,346,165.65x = 11,307,519,248.48 × 6,885,311,464.85 - Step 4: Simplify right side
7,538,346,165.65x = 77,855,791,920,536,977,408 - Step 5: Solve for x
x = 77,855,791,920,536,977,408/7,538,346,165.65 - Step 6: Final answer
x = 10,327,967,197.28
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1.5x scale
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.