Finding the Fourth Proportional to 246,716,709,490.08, 340,387,673,484.06 and 149,021,846,613.48
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Solution
The fourth proportional to 246,716,709,490.08, 340,387,673,484.06 and 149,021,846,613.48 is: 205,600,989,782.58
Step by Step Solution
- Step 1: Write the proportion equation
246,716,709,490.08 : 340,387,673,484.06 = 149,021,846,613.48 : x - Step 2: Convert to fraction form
246,716,709,490.08/340,387,673,484.06 = 149,021,846,613.48/x - Step 3: Cross multiply
246,716,709,490.08x = 340,387,673,484.06 × 149,021,846,613.48 - Step 4: Simplify right side
246,716,709,490.08x = 50,725,199,667,060,904,296,448 - Step 5: Solve for x
x = 50,725,199,667,060,904,296,448/246,716,709,490.08 - Step 6: Final answer
x = 205,600,989,782.58
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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.