Finding the Fourth Proportional to 97,386,592,639.84, 146,079,888,959.76 and 97,386,592,639.84
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Solution
The fourth proportional to 97,386,592,639.84, 146,079,888,959.76 and 97,386,592,639.84 is: 146,079,888,959.76
Step by Step Solution
- Step 1: Write the proportion equation
97,386,592,639.84 : 146,079,888,959.76 = 97,386,592,639.84 : x - Step 2: Convert to fraction form
97,386,592,639.84/146,079,888,959.76 = 97,386,592,639.84/x - Step 3: Cross multiply
97,386,592,639.84x = 146,079,888,959.76 × 97,386,592,639.84 - Step 4: Simplify right side
97,386,592,639.84x = 14,226,222,638,996,480,065,536 - Step 5: Solve for x
x = 14,226,222,638,996,480,065,536/97,386,592,639.84 - Step 6: Final answer
x = 146,079,888,959.76
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1.5x scale
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.