Finding the Fourth Proportional to 683,360,893,931.95, 1,024,323,800,503.40 and 229,922,376,163.31
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Solution
The fourth proportional to 683,360,893,931.95, 1,024,323,800,503.40 and 229,922,376,163.31 is: 344,642,141,895.56
Step by Step Solution
- Step 1: Write the proportion equation
683,360,893,931.95 : 1,024,323,800,503.40 = 229,922,376,163.31 : x - Step 2: Convert to fraction form
683,360,893,931.95/1,024,323,800,503.40 = 229,922,376,163.31/x - Step 3: Cross multiply
683,360,893,931.95x = 1,024,323,800,503.40 × 229,922,376,163.31 - Step 4: Simplify right side
683,360,893,931.95x = 235,514,962,172,374,056,697,856 - Step 5: Solve for x
x = 235,514,962,172,374,056,697,856/683,360,893,931.95 - Step 6: Final answer
x = 344,642,141,895.56
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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.