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Finding the Fourth Proportional to 442,133,645.40, 661,925,009.70 and 442,133,645.40

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Solution

The fourth proportional to 442,133,645.40, 661,925,009.70 and 442,133,645.40 is: 661,925,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133,645.40 : 661,925,009.70 = 442,133,645.40 : x
  2. Step 2: Convert to fraction form
    442,133,645.40/661,925,009.70 = 442,133,645.40/x
  3. Step 3: Cross multiply
    442,133,645.40x = 661,925,009.70 × 442,133,645.40
  4. Step 4: Simplify right side
    442,133,645.40x = 292,659,317,520,091,392
  5. Step 5: Solve for x
    x = 292,659,317,520,091,392/442,133,645.40
  6. Step 6: Final answer
    x = 661,925,009.70

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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.