Finding the Fourth Proportional to 2,088,897,038,962.80, 3,134,776,826,659 and 729,053,750,857.92
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Solution
The fourth proportional to 2,088,897,038,962.80, 3,134,776,826,659 and 729,053,750,857.92 is: 1,094,080,158,547.70
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,038,962.80 : 3,134,776,826,659 = 729,053,750,857.92 : x - Step 2: Convert to fraction form
2,088,897,038,962.80/3,134,776,826,659 = 729,053,750,857.92/x - Step 3: Cross multiply
2,088,897,038,962.80x = 3,134,776,826,659 × 729,053,750,857.92 - Step 4: Simplify right side
2,088,897,038,962.80x = 2,285,420,803,578,231,902,961,664 - Step 5: Solve for x
x = 2,285,420,803,578,231,902,961,664/2,088,897,038,962.80 - Step 6: Final answer
x = 1,094,080,158,547.70
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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.