Finding the Fourth Proportional to 652,536,502,606.14, 900,459,799,372.44 and 359,545,029,330.09
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Solution
The fourth proportional to 652,536,502,606.14, 900,459,799,372.44 and 359,545,029,330.09 is: 496,149,784,238.73
Step by Step Solution
- Step 1: Write the proportion equation
652,536,502,606.14 : 900,459,799,372.44 = 359,545,029,330.09 : x - Step 2: Convert to fraction form
652,536,502,606.14/900,459,799,372.44 = 359,545,029,330.09/x - Step 3: Cross multiply
652,536,502,606.14x = 900,459,799,372.44 × 359,545,029,330.09 - Step 4: Simplify right side
652,536,502,606.14x = 323,755,844,975,930,885,799,936 - Step 5: Solve for x
x = 323,755,844,975,930,885,799,936/652,536,502,606.14 - Step 6: Final answer
x = 496,149,784,238.73
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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.