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Finding the Fourth Proportional to 412,497,602.58, 619,018,995.91 and 194,210,370.58

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Solution

The fourth proportional to 412,497,602.58, 619,018,995.91 and 194,210,370.58 is: 291,443,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,497,602.58 : 619,018,995.91 = 194,210,370.58 : x
  2. Step 2: Convert to fraction form
    412,497,602.58/619,018,995.91 = 194,210,370.58/x
  3. Step 3: Cross multiply
    412,497,602.58x = 619,018,995.91 × 194,210,370.58
  4. Step 4: Simplify right side
    412,497,602.58x = 120,219,908,591,740,608
  5. Step 5: Solve for x
    x = 120,219,908,591,740,608/412,497,602.58
  6. Step 6: Final answer
    x = 291,443,896.50

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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.