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Finding the Fourth Proportional to 98,416,010.20, 147,624,015.30 and 98,416,010.20

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Solution

The fourth proportional to 98,416,010.20, 147,624,015.30 and 98,416,010.20 is: 147,624,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416,010.20 : 147,624,015.30 = 98,416,010.20 : x
  2. Step 2: Convert to fraction form
    98,416,010.20/147,624,015.30 = 98,416,010.20/x
  3. Step 3: Cross multiply
    98,416,010.20x = 147,624,015.30 × 98,416,010.20
  4. Step 4: Simplify right side
    98,416,010.20x = 14,528,566,595,529,758
  5. Step 5: Solve for x
    x = 14,528,566,595,529,758/98,416,010.20
  6. Step 6: Final answer
    x = 147,624,015.30

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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.