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Finding the Fourth Proportional to 46,393,376,906.40, 69,590,065,359.60 and 46,393,376,906.40

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Solution

The fourth proportional to 46,393,376,906.40, 69,590,065,359.60 and 46,393,376,906.40 is: 69,590,065,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,393,376,906.40 : 69,590,065,359.60 = 46,393,376,906.40 : x
  2. Step 2: Convert to fraction form
    46,393,376,906.40/69,590,065,359.60 = 46,393,376,906.40/x
  3. Step 3: Cross multiply
    46,393,376,906.40x = 69,590,065,359.60 × 46,393,376,906.40
  4. Step 4: Simplify right side
    46,393,376,906.40x = 3,228,518,131,168,933,576,704
  5. Step 5: Solve for x
    x = 3,228,518,131,168,933,576,704/46,393,376,906.40
  6. Step 6: Final answer
    x = 69,590,065,359.60

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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.