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Finding the Fourth Proportional to 144,724,811.20, 203,152,212.80 and 144,724,811.20

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Solution

The fourth proportional to 144,724,811.20, 203,152,212.80 and 144,724,811.20 is: 203,152,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,724,811.20 : 203,152,212.80 = 144,724,811.20 : x
  2. Step 2: Convert to fraction form
    144,724,811.20/203,152,212.80 = 144,724,811.20/x
  3. Step 3: Cross multiply
    144,724,811.20x = 203,152,212.80 × 144,724,811.20
  4. Step 4: Simplify right side
    144,724,811.20x = 29,401,165,642,342,224
  5. Step 5: Solve for x
    x = 29,401,165,642,342,224/144,724,811.20
  6. Step 6: Final answer
    x = 203,152,212.80

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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.