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Finding the Fourth Proportional to 531,521,805.97, 733,502,120.03 and 296,582,368.69

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Solution

The fourth proportional to 531,521,805.97, 733,502,120.03 and 296,582,368.69 is: 409,284,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,521,805.97 : 733,502,120.03 = 296,582,368.69 : x
  2. Step 2: Convert to fraction form
    531,521,805.97/733,502,120.03 = 296,582,368.69/x
  3. Step 3: Cross multiply
    531,521,805.97x = 733,502,120.03 × 296,582,368.69
  4. Step 4: Simplify right side
    531,521,805.97x = 217,543,796,197,634,080
  5. Step 5: Solve for x
    x = 217,543,796,197,634,080/531,521,805.97
  6. Step 6: Final answer
    x = 409,284,800.27

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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.