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Finding the Fourth Proportional to 506,404,920.30, 759,607,380.45 and 472,392,696.30

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Solution

The fourth proportional to 506,404,920.30, 759,607,380.45 and 472,392,696.30 is: 708,589,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,404,920.30 : 759,607,380.45 = 472,392,696.30 : x
  2. Step 2: Convert to fraction form
    506,404,920.30/759,607,380.45 = 472,392,696.30/x
  3. Step 3: Cross multiply
    506,404,920.30x = 759,607,380.45 × 472,392,696.30
  4. Step 4: Simplify right side
    506,404,920.30x = 358,832,978,580,155,456
  5. Step 5: Solve for x
    x = 358,832,978,580,155,456/506,404,920.30
  6. Step 6: Final answer
    x = 708,589,044.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.