Finding the Fourth Proportional to 5,306,539,683,994, 7,960,605,413,696 and 1,863,829,565,794.10
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Solution
The fourth proportional to 5,306,539,683,994, 7,960,605,413,696 and 1,863,829,565,794.10 is: 2,796,023,890,374.43
Step by Step Solution
- Step 1: Write the proportion equation
5,306,539,683,994 : 7,960,605,413,696 = 1,863,829,565,794.10 : x - Step 2: Convert to fraction form
5,306,539,683,994/7,960,605,413,696 = 1,863,829,565,794.10/x - Step 3: Cross multiply
5,306,539,683,994x = 7,960,605,413,696 × 1,863,829,565,794.10 - Step 4: Simplify right side
5,306,539,683,994x = 14,837,211,731,667,177,378,414,592 - Step 5: Solve for x
x = 14,837,211,731,667,177,378,414,592/5,306,539,683,994 - Step 6: Final answer
x = 2,796,023,890,374.43
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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.