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Finding the Fourth Proportional to 116,900,380.80, 164,018,851.20 and 116,900,380.80

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Solution

The fourth proportional to 116,900,380.80, 164,018,851.20 and 116,900,380.80 is: 164,018,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,900,380.80 : 164,018,851.20 = 116,900,380.80 : x
  2. Step 2: Convert to fraction form
    116,900,380.80/164,018,851.20 = 116,900,380.80/x
  3. Step 3: Cross multiply
    116,900,380.80x = 164,018,851.20 × 116,900,380.80
  4. Step 4: Simplify right side
    116,900,380.80x = 19,173,866,163,658,536
  5. Step 5: Solve for x
    x = 19,173,866,163,658,536/116,900,380.80
  6. Step 6: Final answer
    x = 164,018,851.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.