Finding the Fourth Proportional to 647,732,136,593.74, 893,898,446,652.75 and 358,700,395,982.31
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Solution
The fourth proportional to 647,732,136,593.74, 893,898,446,652.75 and 358,700,395,982.31 is: 495,022,106,620.32
Step by Step Solution
- Step 1: Write the proportion equation
647,732,136,593.74 : 893,898,446,652.75 = 358,700,395,982.31 : x - Step 2: Convert to fraction form
647,732,136,593.74/893,898,446,652.75 = 358,700,395,982.31/x - Step 3: Cross multiply
647,732,136,593.74x = 893,898,446,652.75 × 358,700,395,982.31 - Step 4: Simplify right side
647,732,136,593.74x = 320,641,726,782,313,255,141,376 - Step 5: Solve for x
x = 320,641,726,782,313,255,141,376/647,732,136,593.74 - Step 6: Final answer
x = 495,022,106,620.32
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.