Finding the Fourth Proportional to 511,788,354,766.66, 706,290,130,588.14 and 283,417,596,752.68
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Solution
The fourth proportional to 511,788,354,766.66, 706,290,130,588.14 and 283,417,596,752.68 is: 391,128,577,969.88
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,766.66 : 706,290,130,588.14 = 283,417,596,752.68 : x - Step 2: Convert to fraction form
511,788,354,766.66/706,290,130,588.14 = 283,417,596,752.68/x - Step 3: Cross multiply
511,788,354,766.66x = 706,290,130,588.14 × 283,417,596,752.68 - Step 4: Simplify right side
511,788,354,766.66x = 200,175,051,421,427,158,745,088 - Step 5: Solve for x
x = 200,175,051,421,427,158,745,088/511,788,354,766.66 - Step 6: Final answer
x = 391,128,577,969.88
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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.