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Finding the Fourth Proportional to 610,418,590.80, 915,683,873.40 and 201,475,640.40

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Solution

The fourth proportional to 610,418,590.80, 915,683,873.40 and 201,475,640.40 is: 302,231,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,418,590.80 : 915,683,873.40 = 201,475,640.40 : x
  2. Step 2: Convert to fraction form
    610,418,590.80/915,683,873.40 = 201,475,640.40/x
  3. Step 3: Cross multiply
    610,418,590.80x = 915,683,873.40 × 201,475,640.40
  4. Step 4: Simplify right side
    610,418,590.80x = 184,487,994,797,217,536
  5. Step 5: Solve for x
    x = 184,487,994,797,217,536/610,418,590.80
  6. Step 6: Final answer
    x = 302,231,939.82

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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.