Finding the Fourth Proportional to 785,426,254,638.68, 1,083,914,975,057.40 and 455,803,772,302.95
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Solution
The fourth proportional to 785,426,254,638.68, 1,083,914,975,057.40 and 455,803,772,302.95 is: 629,024,725,833.87
Step by Step Solution
- Step 1: Write the proportion equation
785,426,254,638.68 : 1,083,914,975,057.40 = 455,803,772,302.95 : x - Step 2: Convert to fraction form
785,426,254,638.68/1,083,914,975,057.40 = 455,803,772,302.95/x - Step 3: Cross multiply
785,426,254,638.68x = 1,083,914,975,057.40 × 455,803,772,302.95 - Step 4: Simplify right side
785,426,254,638.68x = 494,052,534,486,820,934,647,808 - Step 5: Solve for x
x = 494,052,534,486,820,934,647,808/785,426,254,638.68 - Step 6: Final answer
x = 629,024,725,833.87
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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.