Finding the Fourth Proportional to 134,286,283,024.14, 185,331,320,774.84 and 76,428,730,824.98
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Solution
The fourth proportional to 134,286,283,024.14, 185,331,320,774.84 and 76,428,730,824.98 is: 105,480,897,303.50
Step by Step Solution
- Step 1: Write the proportion equation
134,286,283,024.14 : 185,331,320,774.84 = 76,428,730,824.98 : x - Step 2: Convert to fraction form
134,286,283,024.14/185,331,320,774.84 = 76,428,730,824.98/x - Step 3: Cross multiply
134,286,283,024.14x = 185,331,320,774.84 × 76,428,730,824.98 - Step 4: Simplify right side
134,286,283,024.14x = 14,164,637,628,938,269,491,200 - Step 5: Solve for x
x = 14,164,637,628,938,269,491,200/134,286,283,024.14 - Step 6: Final answer
x = 105,480,897,303.50
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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.