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Finding the Fourth Proportional to 564,813,754.92, 779,462,962.74 and 313,923,149.64

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Solution

The fourth proportional to 564,813,754.92, 779,462,962.74 and 313,923,149.64 is: 433,225,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,813,754.92 : 779,462,962.74 = 313,923,149.64 : x
  2. Step 2: Convert to fraction form
    564,813,754.92/779,462,962.74 = 313,923,149.64/x
  3. Step 3: Cross multiply
    564,813,754.92x = 779,462,962.74 × 313,923,149.64
  4. Step 4: Simplify right side
    564,813,754.92x = 244,691,468,291,066,752
  5. Step 5: Solve for x
    x = 244,691,468,291,066,752/564,813,754.92
  6. Step 6: Final answer
    x = 433,225,051.90

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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.