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Finding the Fourth Proportional to 180,864,206.40, 253,550,011.20 and 180,864,206.40

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Solution

The fourth proportional to 180,864,206.40, 253,550,011.20 and 180,864,206.40 is: 253,550,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864,206.40 : 253,550,011.20 = 180,864,206.40 : x
  2. Step 2: Convert to fraction form
    180,864,206.40/253,550,011.20 = 180,864,206.40/x
  3. Step 3: Cross multiply
    180,864,206.40x = 253,550,011.20 × 180,864,206.40
  4. Step 4: Simplify right side
    180,864,206.40x = 45,858,121,558,399,112
  5. Step 5: Solve for x
    x = 45,858,121,558,399,112/180,864,206.40
  6. Step 6: Final answer
    x = 253,550,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.