Finding the Fourth Proportional to 2,088,897,038,848.20, 3,134,776,826,486.80 and 729,053,750,742.70
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Solution
The fourth proportional to 2,088,897,038,848.20, 3,134,776,826,486.80 and 729,053,750,742.70 is: 1,094,080,158,374.71
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,038,848.20 : 3,134,776,826,486.80 = 729,053,750,742.70 : x - Step 2: Convert to fraction form
2,088,897,038,848.20/3,134,776,826,486.80 = 729,053,750,742.70/x - Step 3: Cross multiply
2,088,897,038,848.20x = 3,134,776,826,486.80 × 729,053,750,742.70 - Step 4: Simplify right side
2,088,897,038,848.20x = 2,285,420,803,091,499,365,433,344 - Step 5: Solve for x
x = 2,285,420,803,091,499,365,433,344/2,088,897,038,848.20 - Step 6: Final answer
x = 1,094,080,158,374.71
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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.