Finding the Fourth Proportional to 2,088,897,038,847.40, 3,134,776,826,485.70 and 729,053,750,742.06
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Solution
The fourth proportional to 2,088,897,038,847.40, 3,134,776,826,485.70 and 729,053,750,742.06 is: 1,094,080,158,373.78
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,038,847.40 : 3,134,776,826,485.70 = 729,053,750,742.06 : x - Step 2: Convert to fraction form
2,088,897,038,847.40/3,134,776,826,485.70 = 729,053,750,742.06/x - Step 3: Cross multiply
2,088,897,038,847.40x = 3,134,776,826,485.70 × 729,053,750,742.06 - Step 4: Simplify right side
2,088,897,038,847.40x = 2,285,420,803,088,691,798,999,040 - Step 5: Solve for x
x = 2,285,420,803,088,691,798,999,040/2,088,897,038,847.40 - Step 6: Final answer
x = 1,094,080,158,373.78
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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.