Finding the Fourth Proportional to 11,530,406,997.16, 15,911,535,214.02 and 6,249,895,847.08
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Solution
The fourth proportional to 11,530,406,997.16, 15,911,535,214.02 and 6,249,895,847.08 is: 8,624,625,122.02
Step by Step Solution
- Step 1: Write the proportion equation
11,530,406,997.16 : 15,911,535,214.02 = 6,249,895,847.08 : x - Step 2: Convert to fraction form
11,530,406,997.16/15,911,535,214.02 = 6,249,895,847.08/x - Step 3: Cross multiply
11,530,406,997.16x = 15,911,535,214.02 × 6,249,895,847.08 - Step 4: Simplify right side
11,530,406,997.16x = 99,445,437,854,770,774,016 - Step 5: Solve for x
x = 99,445,437,854,770,774,016/11,530,406,997.16 - Step 6: Final answer
x = 8,624,625,122.02
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1.5x scale
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.