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Finding the Fourth Proportional to 660,064,647, 909,979,027.78 and 526,555,704.45

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Solution

The fourth proportional to 660,064,647, 909,979,027.78 and 526,555,704.45 is: 725,920,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,064,647 : 909,979,027.78 = 526,555,704.45 : x
  2. Step 2: Convert to fraction form
    660,064,647/909,979,027.78 = 526,555,704.45/x
  3. Step 3: Cross multiply
    660,064,647x = 909,979,027.78 × 526,555,704.45
  4. Step 4: Simplify right side
    660,064,647x = 479,154,648,007,424,000
  5. Step 5: Solve for x
    x = 479,154,648,007,424,000/660,064,647
  6. Step 6: Final answer
    x = 725,920,786.98

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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.