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Finding the Fourth Proportional to 30,483,864,007.65, 45,725,796,011.48 and 30,483,864,007.65

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Solution

The fourth proportional to 30,483,864,007.65, 45,725,796,011.48 and 30,483,864,007.65 is: 45,725,796,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483,864,007.65 : 45,725,796,011.48 = 30,483,864,007.65 : x
  2. Step 2: Convert to fraction form
    30,483,864,007.65/45,725,796,011.48 = 30,483,864,007.65/x
  3. Step 3: Cross multiply
    30,483,864,007.65x = 45,725,796,011.48 × 30,483,864,007.65
  4. Step 4: Simplify right side
    30,483,864,007.65x = 1,393,898,947,255,348,756,480
  5. Step 5: Solve for x
    x = 1,393,898,947,255,348,756,480/30,483,864,007.65
  6. Step 6: Final answer
    x = 45,725,796,011.48

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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.