Finding the Fourth Proportional to 7,736,704,076,735.10, 11,605,056,115,102 and 3,710,010,482,264.70
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Solution
The fourth proportional to 7,736,704,076,735.10, 11,605,056,115,102 and 3,710,010,482,264.70 is: 5,565,015,723,396.74
Step by Step Solution
- Step 1: Write the proportion equation
7,736,704,076,735.10 : 11,605,056,115,102 = 3,710,010,482,264.70 : x - Step 2: Convert to fraction form
7,736,704,076,735.10/11,605,056,115,102 = 3,710,010,482,264.70/x - Step 3: Cross multiply
7,736,704,076,735.10x = 11,605,056,115,102 × 3,710,010,482,264.70 - Step 4: Simplify right side
7,736,704,076,735.10x = 43,054,879,834,298,476,339,920,896 - Step 5: Solve for x
x = 43,054,879,834,298,476,339,920,896/7,736,704,076,735.10 - Step 6: Final answer
x = 5,565,015,723,396.74
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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.