Finding the Fourth Proportional to 1,546,838,772.39, 2,320,424,202.51 and 661,616,068.02
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Solution
The fourth proportional to 1,546,838,772.39, 2,320,424,202.51 and 661,616,068.02 is: 992,495,122.57
Step by Step Solution
- Step 1: Write the proportion equation
1,546,838,772.39 : 2,320,424,202.51 = 661,616,068.02 : x - Step 2: Convert to fraction form
1,546,838,772.39/2,320,424,202.51 = 661,616,068.02/x - Step 3: Cross multiply
1,546,838,772.39x = 2,320,424,202.51 × 661,616,068.02 - Step 4: Simplify right side
1,546,838,772.39x = 1,535,229,937,003,110,400 - Step 5: Solve for x
x = 1,535,229,937,003,110,400/1,546,838,772.39 - Step 6: Final answer
x = 992,495,122.57
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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.