Finding the Fourth Proportional to 310,930,395,541.70, 466,395,593,312.55 and 310,930,395,541.70
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Solution
The fourth proportional to 310,930,395,541.70, 466,395,593,312.55 and 310,930,395,541.70 is: 466,395,593,312.55
Step by Step Solution
- Step 1: Write the proportion equation
310,930,395,541.70 : 466,395,593,312.55 = 310,930,395,541.70 : x - Step 2: Convert to fraction form
310,930,395,541.70/466,395,593,312.55 = 310,930,395,541.70/x - Step 3: Cross multiply
310,930,395,541.70x = 466,395,593,312.55 × 310,930,395,541.70 - Step 4: Simplify right side
310,930,395,541.70x = 145,016,566,307,577,023,954,944 - Step 5: Solve for x
x = 145,016,566,307,577,023,954,944/310,930,395,541.70 - Step 6: Final answer
x = 466,395,593,312.55
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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.