Finding the Fourth Proportional to 8,278,458,282.10, 11,424,318,831.93 and 4,710,165,101.74
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Solution
The fourth proportional to 8,278,458,282.10, 11,424,318,831.93 and 4,710,165,101.74 is: 6,500,054,241.94
Step by Step Solution
- Step 1: Write the proportion equation
8,278,458,282.10 : 11,424,318,831.93 = 4,710,165,101.74 : x - Step 2: Convert to fraction form
8,278,458,282.10/11,424,318,831.93 = 4,710,165,101.74/x - Step 3: Cross multiply
8,278,458,282.10x = 11,424,318,831.93 × 4,710,165,101.74 - Step 4: Simplify right side
8,278,458,282.10x = 53,810,427,873,307,762,688 - Step 5: Solve for x
x = 53,810,427,873,307,762,688/8,278,458,282.10 - Step 6: Final answer
x = 6,500,054,241.94
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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.