Finding the Fourth Proportional to 348,402,564,804.52, 480,731,714,132.28 and 194,074,403,742.84
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Solution
The fourth proportional to 348,402,564,804.52, 480,731,714,132.28 and 194,074,403,742.84 is: 267,787,123,877.35
Step by Step Solution
- Step 1: Write the proportion equation
348,402,564,804.52 : 480,731,714,132.28 = 194,074,403,742.84 : x - Step 2: Convert to fraction form
348,402,564,804.52/480,731,714,132.28 = 194,074,403,742.84/x - Step 3: Cross multiply
348,402,564,804.52x = 480,731,714,132.28 × 194,074,403,742.84 - Step 4: Simplify right side
348,402,564,804.52x = 93,297,720,780,495,660,253,184 - Step 5: Solve for x
x = 93,297,720,780,495,660,253,184/348,402,564,804.52 - Step 6: Final answer
x = 267,787,123,877.35
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1.5x scale
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.