Finding the Fourth Proportional to 75,136,689,925.14, 103,688,698,910.41 and 40,842,396,483.53
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Solution
The fourth proportional to 75,136,689,925.14, 103,688,698,910.41 and 40,842,396,483.53 is: 56,362,543,465.51
Step by Step Solution
- Step 1: Write the proportion equation
75,136,689,925.14 : 103,688,698,910.41 = 40,842,396,483.53 : x - Step 2: Convert to fraction form
75,136,689,925.14/103,688,698,910.41 = 40,842,396,483.53/x - Step 3: Cross multiply
75,136,689,925.14x = 103,688,698,910.41 × 40,842,396,483.53 - Step 4: Simplify right side
75,136,689,925.14x = 4,234,894,951,760,330,227,712 - Step 5: Solve for x
x = 4,234,894,951,760,330,227,712/75,136,689,925.14 - Step 6: Final answer
x = 56,362,543,465.51
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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.