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Finding the Fourth Proportional to 509,605,672.88, 703,244,802.17 and 295,033,364.91

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Solution

The fourth proportional to 509,605,672.88, 703,244,802.17 and 295,033,364.91 is: 407,139,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,605,672.88 : 703,244,802.17 = 295,033,364.91 : x
  2. Step 2: Convert to fraction form
    509,605,672.88/703,244,802.17 = 295,033,364.91/x
  3. Step 3: Cross multiply
    509,605,672.88x = 703,244,802.17 × 295,033,364.91
  4. Step 4: Simplify right side
    509,605,672.88x = 207,480,680,338,207,200
  5. Step 5: Solve for x
    x = 207,480,680,338,207,200/509,605,672.88
  6. Step 6: Final answer
    x = 407,139,659.90

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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.