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Finding the Fourth Proportional to 30,483,864,010.65, 45,725,796,015.98 and 30,483,864,010.65

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Solution

The fourth proportional to 30,483,864,010.65, 45,725,796,015.98 and 30,483,864,010.65 is: 45,725,796,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483,864,010.65 : 45,725,796,015.98 = 30,483,864,010.65 : x
  2. Step 2: Convert to fraction form
    30,483,864,010.65/45,725,796,015.98 = 30,483,864,010.65/x
  3. Step 3: Cross multiply
    30,483,864,010.65x = 45,725,796,015.98 × 30,483,864,010.65
  4. Step 4: Simplify right side
    30,483,864,010.65x = 1,393,898,947,529,703,424,000
  5. Step 5: Solve for x
    x = 1,393,898,947,529,703,424,000/30,483,864,010.65
  6. Step 6: Final answer
    x = 45,725,796,015.98

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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.