Finding the Fourth Proportional to 9,980,046,419.14, 13,772,572,897.53 and 5,524,785,197.38
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Solution
The fourth proportional to 9,980,046,419.14, 13,772,572,897.53 and 5,524,785,197.38 is: 7,624,263,823.88
Step by Step Solution
- Step 1: Write the proportion equation
9,980,046,419.14 : 13,772,572,897.53 = 5,524,785,197.38 : x - Step 2: Convert to fraction form
9,980,046,419.14/13,772,572,897.53 = 5,524,785,197.38/x - Step 3: Cross multiply
9,980,046,419.14x = 13,772,572,897.53 × 5,524,785,197.38 - Step 4: Simplify right side
9,980,046,419.14x = 76,090,506,874,110,722,048 - Step 5: Solve for x
x = 76,090,506,874,110,722,048/9,980,046,419.14 - Step 6: Final answer
x = 7,624,263,823.88
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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.