Finding the Fourth Proportional to 782,786,671,751.40, 1,174,349,012,703.60 and 238,277,748,602.71
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Solution
The fourth proportional to 782,786,671,751.40, 1,174,349,012,703.60 and 238,277,748,602.71 is: 357,468,067,506.51
Step by Step Solution
- Step 1: Write the proportion equation
782,786,671,751.40 : 1,174,349,012,703.60 = 238,277,748,602.71 : x - Step 2: Convert to fraction form
782,786,671,751.40/1,174,349,012,703.60 = 238,277,748,602.71/x - Step 3: Cross multiply
782,786,671,751.40x = 1,174,349,012,703.60 × 238,277,748,602.71 - Step 4: Simplify right side
782,786,671,751.40x = 279,821,238,820,829,107,585,024 - Step 5: Solve for x
x = 279,821,238,820,829,107,585,024/782,786,671,751.40 - Step 6: Final answer
x = 357,468,067,506.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.