Finding the Fourth Proportional to 349,586,265,294.46, 482,423,953,829.80 and 195,264,140,746.68
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Solution
The fourth proportional to 349,586,265,294.46, 482,423,953,829.80 and 195,264,140,746.68 is: 269,461,669,899.55
Step by Step Solution
- Step 1: Write the proportion equation
349,586,265,294.46 : 482,423,953,829.80 = 195,264,140,746.68 : x - Step 2: Convert to fraction form
349,586,265,294.46/482,423,953,829.80 = 195,264,140,746.68/x - Step 3: Cross multiply
349,586,265,294.46x = 482,423,953,829.80 × 195,264,140,746.68 - Step 4: Simplify right side
349,586,265,294.46x = 94,200,098,820,191,921,635,328 - Step 5: Solve for x
x = 94,200,098,820,191,921,635,328/349,586,265,294.46 - Step 6: Final answer
x = 269,461,669,899.55
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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.