Finding the Fourth Proportional to 458,297,241,623.72, 632,421,696,868.30 and 252,519,965,468.23
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Solution
The fourth proportional to 458,297,241,623.72, 632,421,696,868.30 and 252,519,965,468.23 is: 348,461,850,847.58
Step by Step Solution
- Step 1: Write the proportion equation
458,297,241,623.72 : 632,421,696,868.30 = 252,519,965,468.23 : x - Step 2: Convert to fraction form
458,297,241,623.72/632,421,696,868.30 = 252,519,965,468.23/x - Step 3: Cross multiply
458,297,241,623.72x = 632,421,696,868.30 × 252,519,965,468.23 - Step 4: Simplify right side
458,297,241,623.72x = 159,699,105,054,542,547,386,368 - Step 5: Solve for x
x = 159,699,105,054,542,547,386,368/458,297,241,623.72 - Step 6: Final answer
x = 348,461,850,847.58
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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.