Finding the Fourth Proportional to 264,216,913,867.10, 396,163,173,360.54 and 102,679,705,827.84
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Solution
The fourth proportional to 264,216,913,867.10, 396,163,173,360.54 and 102,679,705,827.84 is: 153,956,525,739.09
Step by Step Solution
- Step 1: Write the proportion equation
264,216,913,867.10 : 396,163,173,360.54 = 102,679,705,827.84 : x - Step 2: Convert to fraction form
264,216,913,867.10/396,163,173,360.54 = 102,679,705,827.84/x - Step 3: Cross multiply
264,216,913,867.10x = 396,163,173,360.54 × 102,679,705,827.84 - Step 4: Simplify right side
264,216,913,867.10x = 40,677,918,100,483,825,729,536 - Step 5: Solve for x
x = 40,677,918,100,483,825,729,536/264,216,913,867.10 - Step 6: Final answer
x = 153,956,525,739.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.