Finding the Fourth Proportional to 588,873,058,901.23, 883,577,977,557.83 and 302,232,406,659.18
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Solution
The fourth proportional to 588,873,058,901.23, 883,577,977,557.83 and 302,232,406,659.18 is: 453,486,357,699.28
Step by Step Solution
- Step 1: Write the proportion equation
588,873,058,901.23 : 883,577,977,557.83 = 302,232,406,659.18 : x - Step 2: Convert to fraction form
588,873,058,901.23/883,577,977,557.83 = 302,232,406,659.18/x - Step 3: Cross multiply
588,873,058,901.23x = 883,577,977,557.83 × 302,232,406,659.18 - Step 4: Simplify right side
588,873,058,901.23x = 267,045,898,628,353,887,305,728 - Step 5: Solve for x
x = 267,045,898,628,353,887,305,728/588,873,058,901.23 - Step 6: Final answer
x = 453,486,357,699.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.