Finding the Fourth Proportional to 302,288,714,095.32, 453,434,766,107.58 and 100,829,896,335
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Solution
The fourth proportional to 302,288,714,095.32, 453,434,766,107.58 and 100,829,896,335 is: 151,245,409,866.33
Step by Step Solution
- Step 1: Write the proportion equation
302,288,714,095.32 : 453,434,766,107.58 = 100,829,896,335 : x - Step 2: Convert to fraction form
302,288,714,095.32/453,434,766,107.58 = 100,829,896,335/x - Step 3: Cross multiply
302,288,714,095.32x = 453,434,766,107.58 × 100,829,896,335 - Step 4: Simplify right side
302,288,714,095.32x = 45,719,780,461,312,265,420,800 - Step 5: Solve for x
x = 45,719,780,461,312,265,420,800/302,288,714,095.32 - Step 6: Final answer
x = 151,245,409,866.33
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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.