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Finding the Fourth Proportional to 417,865,573.68, 576,475,617.24 and 260,960,279.28

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Solution

The fourth proportional to 417,865,573.68, 576,475,617.24 and 260,960,279.28 is: 360,013,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,865,573.68 : 576,475,617.24 = 260,960,279.28 : x
  2. Step 2: Convert to fraction form
    417,865,573.68/576,475,617.24 = 260,960,279.28/x
  3. Step 3: Cross multiply
    417,865,573.68x = 576,475,617.24 × 260,960,279.28
  4. Step 4: Simplify right side
    417,865,573.68x = 150,437,238,073,060,800
  5. Step 5: Solve for x
    x = 150,437,238,073,060,800/417,865,573.68
  6. Step 6: Final answer
    x = 360,013,476.94

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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.