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Finding the Fourth Proportional to 326,688,750.40, 490,033,125.60 and 326,688,750.40

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Solution

The fourth proportional to 326,688,750.40, 490,033,125.60 and 326,688,750.40 is: 490,033,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,688,750.40 : 490,033,125.60 = 326,688,750.40 : x
  2. Step 2: Convert to fraction form
    326,688,750.40/490,033,125.60 = 326,688,750.40/x
  3. Step 3: Cross multiply
    326,688,750.40x = 490,033,125.60 × 326,688,750.40
  4. Step 4: Simplify right side
    326,688,750.40x = 160,088,309,456,870,240
  5. Step 5: Solve for x
    x = 160,088,309,456,870,240/326,688,750.40
  6. Step 6: Final answer
    x = 490,033,125.60

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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.