Finding the Fourth Proportional to 7,908,088,763,510.80, 11,863,660,753,024 and 3,006,744,153,406.40
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Solution
The fourth proportional to 7,908,088,763,510.80, 11,863,660,753,024 and 3,006,744,153,406.40 is: 4,510,697,043,733.70
Step by Step Solution
- Step 1: Write the proportion equation
7,908,088,763,510.80 : 11,863,660,753,024 = 3,006,744,153,406.40 : x - Step 2: Convert to fraction form
7,908,088,763,510.80/11,863,660,753,024 = 3,006,744,153,406.40/x - Step 3: Cross multiply
7,908,088,763,510.80x = 11,863,660,753,024 × 3,006,744,153,406.40 - Step 4: Simplify right side
7,908,088,763,510.80x = 35,670,992,607,151,878,634,995,712 - Step 5: Solve for x
x = 35,670,992,607,151,878,634,995,712/7,908,088,763,510.80 - Step 6: Final answer
x = 4,510,697,043,733.70
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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.