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Finding the Fourth Proportional to 419,830,359.92, 579,575,649.23 and 261,111,642.38

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Solution

The fourth proportional to 419,830,359.92, 579,575,649.23 and 261,111,642.38 is: 360,464,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,830,359.92 : 579,575,649.23 = 261,111,642.38 : x
  2. Step 2: Convert to fraction form
    419,830,359.92/579,575,649.23 = 261,111,642.38/x
  3. Step 3: Cross multiply
    419,830,359.92x = 579,575,649.23 × 261,111,642.38
  4. Step 4: Simplify right side
    419,830,359.92x = 151,333,949,649,696,640
  5. Step 5: Solve for x
    x = 151,333,949,649,696,640/419,830,359.92
  6. Step 6: Final answer
    x = 360,464,521.15

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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.