Finding the Fourth Proportional to 849,227,444,987.45, 1,273,845,929,587.10 and 283,263,577,931.09
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Solution
The fourth proportional to 849,227,444,987.45, 1,273,845,929,587.10 and 283,263,577,931.09 is: 424,896,955,318.17
Step by Step Solution
- Step 1: Write the proportion equation
849,227,444,987.45 : 1,273,845,929,587.10 = 283,263,577,931.09 : x - Step 2: Convert to fraction form
849,227,444,987.45/1,273,845,929,587.10 = 283,263,577,931.09/x - Step 3: Cross multiply
849,227,444,987.45x = 1,273,845,929,587.10 × 283,263,577,931.09 - Step 4: Simplify right side
849,227,444,987.45x = 360,834,155,747,797,343,666,176 - Step 5: Solve for x
x = 360,834,155,747,797,343,666,176/849,227,444,987.45 - Step 6: Final answer
x = 424,896,955,318.17
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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.