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Finding the Fourth Proportional to 99,294,338,515.20, 148,941,507,772.80 and 99,294,338,515.20

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Solution

The fourth proportional to 99,294,338,515.20, 148,941,507,772.80 and 99,294,338,515.20 is: 148,941,507,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,294,338,515.20 : 148,941,507,772.80 = 99,294,338,515.20 : x
  2. Step 2: Convert to fraction form
    99,294,338,515.20/148,941,507,772.80 = 99,294,338,515.20/x
  3. Step 3: Cross multiply
    99,294,338,515.20x = 148,941,507,772.80 × 99,294,338,515.20
  4. Step 4: Simplify right side
    99,294,338,515.20x = 14,789,048,491,756,694,274,048
  5. Step 5: Solve for x
    x = 14,789,048,491,756,694,274,048/99,294,338,515.20
  6. Step 6: Final answer
    x = 148,941,507,772.80

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1.5x scale

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.