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Finding the Fourth Proportional to 354,965,457.60, 532,448,186.40 and 294,499,281.60

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Solution

The fourth proportional to 354,965,457.60, 532,448,186.40 and 294,499,281.60 is: 441,748,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,965,457.60 : 532,448,186.40 = 294,499,281.60 : x
  2. Step 2: Convert to fraction form
    354,965,457.60/532,448,186.40 = 294,499,281.60/x
  3. Step 3: Cross multiply
    354,965,457.60x = 532,448,186.40 × 294,499,281.60
  4. Step 4: Simplify right side
    354,965,457.60x = 156,805,608,384,022,880
  5. Step 5: Solve for x
    x = 156,805,608,384,022,880/354,965,457.60
  6. Step 6: Final answer
    x = 441,748,922.40

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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.