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Finding the Fourth Proportional to 235,836,291,708.80, 353,754,437,563.20 and 235,836,291,708.80

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Solution

The fourth proportional to 235,836,291,708.80, 353,754,437,563.20 and 235,836,291,708.80 is: 353,754,437,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836,291,708.80 : 353,754,437,563.20 = 235,836,291,708.80 : x
  2. Step 2: Convert to fraction form
    235,836,291,708.80/353,754,437,563.20 = 235,836,291,708.80/x
  3. Step 3: Cross multiply
    235,836,291,708.80x = 353,754,437,563.20 × 235,836,291,708.80
  4. Step 4: Simplify right side
    235,836,291,708.80x = 83,428,134,730,437,303,992,320
  5. Step 5: Solve for x
    x = 83,428,134,730,437,303,992,320/235,836,291,708.80
  6. Step 6: Final answer
    x = 353,754,437,563.20

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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.