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Finding the Fourth Proportional to 585,311,327.16, 877,967,369.85 and 148,644,759.48

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Solution

The fourth proportional to 585,311,327.16, 877,967,369.85 and 148,644,759.48 is: 222,967,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,311,327.16 : 877,967,369.85 = 148,644,759.48 : x
  2. Step 2: Convert to fraction form
    585,311,327.16/877,967,369.85 = 148,644,759.48/x
  3. Step 3: Cross multiply
    585,311,327.16x = 877,967,369.85 × 148,644,759.48
  4. Step 4: Simplify right side
    585,311,327.16x = 130,505,248,522,641,440
  5. Step 5: Solve for x
    x = 130,505,248,522,641,440/585,311,327.16
  6. Step 6: Final answer
    x = 222,967,235.50

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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.