Finding the Fourth Proportional to 10,497,970,563,276, 15,825,640,289,076 and 9,798,172,933,995
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Solution
The fourth proportional to 10,497,970,563,276, 15,825,640,289,076 and 9,798,172,933,995 is: 14,770,698,718,284.12
Step by Step Solution
- Step 1: Write the proportion equation
10,497,970,563,276 : 15,825,640,289,076 = 9,798,172,933,995 : x - Step 2: Convert to fraction form
10,497,970,563,276/15,825,640,289,076 = 9,798,172,933,995/x - Step 3: Cross multiply
10,497,970,563,276x = 15,825,640,289,076 × 9,798,172,933,995 - Step 4: Simplify right side
10,497,970,563,276x = 155,062,360,343,565,258,224,304,128 - Step 5: Solve for x
x = 155,062,360,343,565,258,224,304,128/10,497,970,563,276 - Step 6: Final answer
x = 14,770,698,718,284.12
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.