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Finding the Fourth Proportional to 451,056,009.40, 630,117,924.20 and 451,056,009.40

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Solution

The fourth proportional to 451,056,009.40, 630,117,924.20 and 451,056,009.40 is: 630,117,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,056,009.40 : 630,117,924.20 = 451,056,009.40 : x
  2. Step 2: Convert to fraction form
    451,056,009.40/630,117,924.20 = 451,056,009.40/x
  3. Step 3: Cross multiply
    451,056,009.40x = 630,117,924.20 × 451,056,009.40
  4. Step 4: Simplify right side
    451,056,009.40x = 284,218,476,341,063,680
  5. Step 5: Solve for x
    x = 284,218,476,341,063,680/451,056,009.40
  6. Step 6: Final answer
    x = 630,117,924.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.