Finding the Fourth Proportional to 775,967,884,058.95, 1,070,824,283,780.60 and 433,416,746,112.53
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Solution
The fourth proportional to 775,967,884,058.95, 1,070,824,283,780.60 and 433,416,746,112.53 is: 598,108,744,277.89
Step by Step Solution
- Step 1: Write the proportion equation
775,967,884,058.95 : 1,070,824,283,780.60 = 433,416,746,112.53 : x - Step 2: Convert to fraction form
775,967,884,058.95/1,070,824,283,780.60 = 433,416,746,112.53/x - Step 3: Cross multiply
775,967,884,058.95x = 1,070,824,283,780.60 × 433,416,746,112.53 - Step 4: Simplify right side
775,967,884,058.95x = 464,113,176,734,468,103,208,960 - Step 5: Solve for x
x = 464,113,176,734,468,103,208,960/775,967,884,058.95 - Step 6: Final answer
x = 598,108,744,277.89
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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.