Finding the Fourth Proportional to 268,395,477,904.55, 370,393,618,559.05 and 146,468,068,898.14
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Solution
The fourth proportional to 268,395,477,904.55, 370,393,618,559.05 and 146,468,068,898.14 is: 202,130,223,899.79
Step by Step Solution
- Step 1: Write the proportion equation
268,395,477,904.55 : 370,393,618,559.05 = 146,468,068,898.14 : x - Step 2: Convert to fraction form
268,395,477,904.55/370,393,618,559.05 = 146,468,068,898.14/x - Step 3: Cross multiply
268,395,477,904.55x = 370,393,618,559.05 × 146,468,068,898.14 - Step 4: Simplify right side
268,395,477,904.55x = 54,250,838,042,538,326,097,920 - Step 5: Solve for x
x = 54,250,838,042,538,326,097,920/268,395,477,904.55 - Step 6: Final answer
x = 202,130,223,899.79
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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.