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Finding the Fourth Proportional to 12,068,208,980.48, 18,102,313,470.72 and 12,068,208,980.48

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Solution

The fourth proportional to 12,068,208,980.48, 18,102,313,470.72 and 12,068,208,980.48 is: 18,102,313,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068,208,980.48 : 18,102,313,470.72 = 12,068,208,980.48 : x
  2. Step 2: Convert to fraction form
    12,068,208,980.48/18,102,313,470.72 = 12,068,208,980.48/x
  3. Step 3: Cross multiply
    12,068,208,980.48x = 18,102,313,470.72 × 12,068,208,980.48
  4. Step 4: Simplify right side
    12,068,208,980.48x = 218,462,501,994,716,692,480
  5. Step 5: Solve for x
    x = 218,462,501,994,716,692,480/12,068,208,980.48
  6. Step 6: Final answer
    x = 18,102,313,470.72

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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.