Finding the Fourth Proportional to 77,422,792,187.07, 106,829,269,818.60 and 43,127,645,284.47
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Solution
The fourth proportional to 77,422,792,187.07, 106,829,269,818.60 and 43,127,645,284.47 is: 59,508,249,761.95
Step by Step Solution
- Step 1: Write the proportion equation
77,422,792,187.07 : 106,829,269,818.60 = 43,127,645,284.47 : x - Step 2: Convert to fraction form
77,422,792,187.07/106,829,269,818.60 = 43,127,645,284.47/x - Step 3: Cross multiply
77,422,792,187.07x = 106,829,269,818.60 × 43,127,645,284.47 - Step 4: Simplify right side
77,422,792,187.07x = 4,607,294,854,735,517,974,528 - Step 5: Solve for x
x = 4,607,294,854,735,517,974,528/77,422,792,187.07 - Step 6: Final answer
x = 59,508,249,761.95
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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.