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Finding the Fourth Proportional to 16,231,097,643.90, 24,346,646,465.85 and 16,231,097,643.90

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Solution

The fourth proportional to 16,231,097,643.90, 24,346,646,465.85 and 16,231,097,643.90 is: 24,346,646,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231,097,643.90 : 24,346,646,465.85 = 16,231,097,643.90 : x
  2. Step 2: Convert to fraction form
    16,231,097,643.90/24,346,646,465.85 = 16,231,097,643.90/x
  3. Step 3: Cross multiply
    16,231,097,643.90x = 24,346,646,465.85 × 16,231,097,643.90
  4. Step 4: Simplify right side
    16,231,097,643.90x = 395,172,796,088,724,160,512
  5. Step 5: Solve for x
    x = 395,172,796,088,724,160,512/16,231,097,643.90
  6. Step 6: Final answer
    x = 24,346,646,465.85

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Double scale
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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.