Finding the Fourth Proportional to 511,788,354,751.95, 706,290,130,567.83 and 283,417,596,738.07
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Solution
The fourth proportional to 511,788,354,751.95, 706,290,130,567.83 and 283,417,596,738.07 is: 391,128,577,949.71
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,751.95 : 706,290,130,567.83 = 283,417,596,738.07 : x - Step 2: Convert to fraction form
511,788,354,751.95/706,290,130,567.83 = 283,417,596,738.07/x - Step 3: Cross multiply
511,788,354,751.95x = 706,290,130,567.83 × 283,417,596,738.07 - Step 4: Simplify right side
511,788,354,751.95x = 200,175,051,405,352,035,680,256 - Step 5: Solve for x
x = 200,175,051,405,352,035,680,256/511,788,354,751.95 - Step 6: Final answer
x = 391,128,577,949.71
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.