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Finding the Fourth Proportional to 12,124,633,606.65, 18,186,950,409.98 and 12,124,633,606.65

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Solution

The fourth proportional to 12,124,633,606.65, 18,186,950,409.98 and 12,124,633,606.65 is: 18,186,950,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124,633,606.65 : 18,186,950,409.98 = 12,124,633,606.65 : x
  2. Step 2: Convert to fraction form
    12,124,633,606.65/18,186,950,409.98 = 12,124,633,606.65/x
  3. Step 3: Cross multiply
    12,124,633,606.65x = 18,186,950,409.98 × 12,124,633,606.65
  4. Step 4: Simplify right side
    12,124,633,606.65x = 220,510,110,143,259,869,184
  5. Step 5: Solve for x
    x = 220,510,110,143,259,869,184/12,124,633,606.65
  6. Step 6: Final answer
    x = 18,186,950,409.98

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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.