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Finding the Fourth Proportional to 30,906,653,007.60, 46,359,979,511.40 and 30,906,653,007.60

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Solution

The fourth proportional to 30,906,653,007.60, 46,359,979,511.40 and 30,906,653,007.60 is: 46,359,979,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906,653,007.60 : 46,359,979,511.40 = 30,906,653,007.60 : x
  2. Step 2: Convert to fraction form
    30,906,653,007.60/46,359,979,511.40 = 30,906,653,007.60/x
  3. Step 3: Cross multiply
    30,906,653,007.60x = 46,359,979,511.40 × 30,906,653,007.60
  4. Step 4: Simplify right side
    30,906,653,007.60x = 1,432,831,800,198,285,230,080
  5. Step 5: Solve for x
    x = 1,432,831,800,198,285,230,080/30,906,653,007.60
  6. Step 6: Final answer
    x = 46,359,979,511.40

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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.