Finding the Fourth Proportional to 458,297,242,276.92, 632,421,697,768.71 and 252,519,966,120.75
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Solution
The fourth proportional to 458,297,242,276.92, 632,421,697,768.71 and 252,519,966,120.75 is: 348,461,851,747.49
Step by Step Solution
- Step 1: Write the proportion equation
458,297,242,276.92 : 632,421,697,768.71 = 252,519,966,120.75 : x - Step 2: Convert to fraction form
458,297,242,276.92/632,421,697,768.71 = 252,519,966,120.75/x - Step 3: Cross multiply
458,297,242,276.92x = 632,421,697,768.71 × 252,519,966,120.75 - Step 4: Simplify right side
458,297,242,276.92x = 159,699,105,694,581,828,616,192 - Step 5: Solve for x
x = 159,699,105,694,581,828,616,192/458,297,242,276.92 - Step 6: Final answer
x = 348,461,851,747.49
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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.