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Finding the Fourth Proportional to 295,488,020.30, 414,363,472.90 and 295,488,020.30

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Solution

The fourth proportional to 295,488,020.30, 414,363,472.90 and 295,488,020.30 is: 414,363,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488,020.30 : 414,363,472.90 = 295,488,020.30 : x
  2. Step 2: Convert to fraction form
    295,488,020.30/414,363,472.90 = 295,488,020.30/x
  3. Step 3: Cross multiply
    295,488,020.30x = 414,363,472.90 × 295,488,020.30
  4. Step 4: Simplify right side
    295,488,020.30x = 122,439,442,291,853,696
  5. Step 5: Solve for x
    x = 122,439,442,291,853,696/295,488,020.30
  6. Step 6: Final answer
    x = 414,363,472.90

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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.