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Finding the Fourth Proportional to 464,191,001.80, 696,286,502.70 and 464,191,001.80

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Solution

The fourth proportional to 464,191,001.80, 696,286,502.70 and 464,191,001.80 is: 696,286,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,191,001.80 : 696,286,502.70 = 464,191,001.80 : x
  2. Step 2: Convert to fraction form
    464,191,001.80/696,286,502.70 = 464,191,001.80/x
  3. Step 3: Cross multiply
    464,191,001.80x = 696,286,502.70 × 464,191,001.80
  4. Step 4: Simplify right side
    464,191,001.80x = 323,209,929,228,131,456
  5. Step 5: Solve for x
    x = 323,209,929,228,131,456/464,191,001.80
  6. Step 6: Final answer
    x = 696,286,502.70

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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.