Finding the Fourth Proportional to 579,594,725,493.92, 869,789,214,332.14 and 202,286,516,511.52
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Solution
The fourth proportional to 579,594,725,493.92, 869,789,214,332.14 and 202,286,516,511.52 is: 303,568,377,225.31
Step by Step Solution
- Step 1: Write the proportion equation
579,594,725,493.92 : 869,789,214,332.14 = 202,286,516,511.52 : x - Step 2: Convert to fraction form
579,594,725,493.92/869,789,214,332.14 = 202,286,516,511.52/x - Step 3: Cross multiply
579,594,725,493.92x = 869,789,214,332.14 × 202,286,516,511.52 - Step 4: Simplify right side
579,594,725,493.92x = 175,946,630,266,540,445,925,376 - Step 5: Solve for x
x = 175,946,630,266,540,445,925,376/579,594,725,493.92 - Step 6: Final answer
x = 303,568,377,225.31
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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.