Finding the Fourth Proportional to 849,227,445,005.76, 1,273,845,929,614.60 and 283,263,577,949.40
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Solution
The fourth proportional to 849,227,445,005.76, 1,273,845,929,614.60 and 283,263,577,949.40 is: 424,896,955,345.65
Step by Step Solution
- Step 1: Write the proportion equation
849,227,445,005.76 : 1,273,845,929,614.60 = 283,263,577,949.40 : x - Step 2: Convert to fraction form
849,227,445,005.76/1,273,845,929,614.60 = 283,263,577,949.40/x - Step 3: Cross multiply
849,227,445,005.76x = 1,273,845,929,614.60 × 283,263,577,949.40 - Step 4: Simplify right side
849,227,445,005.76x = 360,834,155,778,911,227,609,088 - Step 5: Solve for x
x = 360,834,155,778,911,227,609,088/849,227,445,005.76 - Step 6: Final answer
x = 424,896,955,345.65
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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.