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Finding the Fourth Proportional to 148,716,101.70, 223,074,152.55 and 148,716,101.70

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Solution

The fourth proportional to 148,716,101.70, 223,074,152.55 and 148,716,101.70 is: 223,074,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716,101.70 : 223,074,152.55 = 148,716,101.70 : x
  2. Step 2: Convert to fraction form
    148,716,101.70/223,074,152.55 = 148,716,101.70/x
  3. Step 3: Cross multiply
    148,716,101.70x = 223,074,152.55 × 148,716,101.70
  4. Step 4: Simplify right side
    148,716,101.70x = 33,174,718,357,267,112
  5. Step 5: Solve for x
    x = 33,174,718,357,267,112/148,716,101.70
  6. Step 6: Final answer
    x = 223,074,152.55

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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.