Finding the Fourth Proportional to 1,643,184,417,113.40, 2,267,597,163,226.80 and 911,572,842,612.55
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Solution
The fourth proportional to 1,643,184,417,113.40, 2,267,597,163,226.80 and 911,572,842,612.55 is: 1,257,972,002,688.58
Step by Step Solution
- Step 1: Write the proportion equation
1,643,184,417,113.40 : 2,267,597,163,226.80 = 911,572,842,612.55 : x - Step 2: Convert to fraction form
1,643,184,417,113.40/2,267,597,163,226.80 = 911,572,842,612.55/x - Step 3: Cross multiply
1,643,184,417,113.40x = 2,267,597,163,226.80 × 911,572,842,612.55 - Step 4: Simplify right side
1,643,184,417,113.40x = 2,067,079,991,982,808,606,179,328 - Step 5: Solve for x
x = 2,067,079,991,982,808,606,179,328/1,643,184,417,113.40 - Step 6: Final answer
x = 1,257,972,002,688.58
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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.