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Finding the Fourth Proportional to 212,904,009.70, 319,356,014.55 and 212,904,009.70

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Solution

The fourth proportional to 212,904,009.70, 319,356,014.55 and 212,904,009.70 is: 319,356,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904,009.70 : 319,356,014.55 = 212,904,009.70 : x
  2. Step 2: Convert to fraction form
    212,904,009.70/319,356,014.55 = 212,904,009.70/x
  3. Step 3: Cross multiply
    212,904,009.70x = 319,356,014.55 × 212,904,009.70
  4. Step 4: Simplify right side
    212,904,009.70x = 67,992,176,019,506,536
  5. Step 5: Solve for x
    x = 67,992,176,019,506,536/212,904,009.70
  6. Step 6: Final answer
    x = 319,356,014.55

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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.