Home / 432,431,138,270.02-648,646,707,405.03-432,431,138,270.02

Finding the Fourth Proportional to 432,431,138,270.02, 648,646,707,405.03 and 432,431,138,270.02

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Solution

The fourth proportional to 432,431,138,270.02, 648,646,707,405.03 and 432,431,138,270.02 is: 648,646,707,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,431,138,270.02 : 648,646,707,405.03 = 432,431,138,270.02 : x
  2. Step 2: Convert to fraction form
    432,431,138,270.02/648,646,707,405.03 = 432,431,138,270.02/x
  3. Step 3: Cross multiply
    432,431,138,270.02x = 648,646,707,405.03 × 432,431,138,270.02
  4. Step 4: Simplify right side
    432,431,138,270.02x = 280,495,034,018,257,742,856,192
  5. Step 5: Solve for x
    x = 280,495,034,018,257,742,856,192/432,431,138,270.02
  6. Step 6: Final answer
    x = 648,646,707,405.03

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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.