Finding the Fourth Proportional to 511,788,354,840.68, 706,290,130,690.16 and 283,417,596,826.70
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Solution
The fourth proportional to 511,788,354,840.68, 706,290,130,690.16 and 283,417,596,826.70 is: 391,128,578,071.96
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,840.68 : 706,290,130,690.16 = 283,417,596,826.70 : x - Step 2: Convert to fraction form
511,788,354,840.68/706,290,130,690.16 = 283,417,596,826.70/x - Step 3: Cross multiply
511,788,354,840.68x = 706,290,130,690.16 × 283,417,596,826.70 - Step 4: Simplify right side
511,788,354,840.68x = 200,175,051,502,621,032,448,000 - Step 5: Solve for x
x = 200,175,051,502,621,032,448,000/511,788,354,840.68 - Step 6: Final answer
x = 391,128,578,071.96
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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.