Finding the Fourth Proportional to 75,136,689,927.14, 103,688,698,913.17 and 40,842,396,485.53
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Solution
The fourth proportional to 75,136,689,927.14, 103,688,698,913.17 and 40,842,396,485.53 is: 56,362,543,468.27
Step by Step Solution
- Step 1: Write the proportion equation
75,136,689,927.14 : 103,688,698,913.17 = 40,842,396,485.53 : x - Step 2: Convert to fraction form
75,136,689,927.14/103,688,698,913.17 = 40,842,396,485.53/x - Step 3: Cross multiply
75,136,689,927.14x = 103,688,698,913.17 × 40,842,396,485.53 - Step 4: Simplify right side
75,136,689,927.14x = 4,234,894,952,080,432,693,248 - Step 5: Solve for x
x = 4,234,894,952,080,432,693,248/75,136,689,927.14 - Step 6: Final answer
x = 56,362,543,468.27
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.